2.1 What is a Function?

📖 Chapter 2 Functions
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Grade Level
11

PreCalc5th2.1

75 videos

1

001. Q1

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📚 Related Lectures
11.1.1 Functions, Function, given Relation, determine vertical line test lecture
🎓 002. Understanding f(x) notation
🎓 001. Introduction to Functions
2

002. Q2

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📚 Related Lectures
11.1.1 Functions, Function, given Relation, determine vertical line test lecture
🎓 002. Understanding f(x) notation
🎓 001. Introduction to Functions
3

003. Q3

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📚 Related Lectures
11.1.1 Functions, Function, given Relation, determine vertical line test lecture
🎓 002. Understanding f(x) notation
🎓 001. Introduction to Functions
4

004. Q4

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📚 Related Lectures
11.1.1 Functions, Function, given Relation, determine vertical line test lecture
🎓 002. Understanding f(x) notation
🎓 001. Introduction to Functions
5

005. Q5

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📚 Related Lectures
11.1.1 FUNCTION PROPERTIES, given.Function.Equation, write.in.words
🎓 001. Converting functions into words
🎬 L5TwqvHR1Z8
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006. Q6

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📚 Related Lectures
11.1.1 FUNCTION PROPERTIES, given.Function.Equation, write.in.words
🎓 001. Converting functions into words
🎬 76y8lB-5r0A
▶ Watch
7

007. Q7

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📚 Related Lectures
11.1.1 FUNCTION PROPERTIES, given.Function.Equation, write.in.words
🎓 001. Converting functions into words
🎬 L5TwqvHR1Z8
▶ Watch
8

008. Q8

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📚 Related Lectures
11.1.1 FUNCTION PROPERTIES, given.Function.Equation, write.in.words
🎓 001. Converting functions into words
🎬 L5TwqvHR1Z8
▶ Watch
9

009. Q9

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📚 Related Lectures
11 Functions, given.Function, convert.Mapping.Notation
🎓 001. Mapping notation from function notation
10

010. Q10

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📚 Related Lectures
11 Functions, given.Function, convert.Mapping.Notation
🎓 001. Mapping notation from function notation
11

011. Q11

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📚 Related Lectures
10 Math, Parabola, Transformation, Horizontal, given y=a(x-p)^2, sketch
🎓 002. Sketching y=a(x-p)^2, Horizontal Shift and Vertical Stretch
🎓 001. Sketching y=(x-p)^2, Intro to Horizontal Shift of Parabola
12

012. Q12

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📚 Related Lectures
11.1.4 FUNCTIONS, ABSOLUTE VALUE, given.|quad|, sketch.find
🎓 002. Sketching Absolute value of Quad with domain and range
🎓 001. Sketching Absolute value of Quadratic function
13

013. Q13

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📚 Related Lectures
11 Functions, Functions, given.Set.of.Points.or.Table, Evaluate.f(a)
🎓 001. Given set of points, evaluate the function
🎓 002. Given a graph, evaluate the function
14

014. Q14

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📚 Related Lectures
11 Functions, Functions, given.Set.of.Points.or.Table, Evaluate.f(a)
🎓 001. Given set of points, evaluate the function
🎓 002. Given a graph, evaluate the function
15

015. Q15

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📚 Related Lectures
11 Functions, Functions, given.Set.of.Points.or.Table, Evaluate.f(a)
🎓 001. Given set of points, evaluate the function
🎓 002. Given a graph, evaluate the function
16

016. Q16

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17

017. Q17

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📚 Related Lectures
11.1.5 FUNCTIONS, QUADRATIC FUNCTIONS, given input, find output
🎓 002. Another example HQ
🎓 001. Input into Quad Function
18

018. Q18

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📚 Related Lectures
12.1 ADVFUN, Polynomial, given Function, determine if Polynomial
🎓 003. Rough Characteristics of Polynomial graph
🎓 002. Identifying Polynomials from a list
🎓 001. Identifying Polynomials
19

019. Q19

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20

020. Q20

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21

021. Q21

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📚 Related Lectures
12.1.2.2 ADVFUN, PIECE-WISE FUNCTIONS, given function, sketch
🎓 002. Sketching Piecewise function with Absolute Value function
🎓 001. Piece wise function sketch
22

022. Q22

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📚 Related Lectures
12.1.2.2 ADVFUN, PIECE-WISE FUNCTIONS, given function, sketch
🎓 002. Sketching Piecewise function with Absolute Value function
🎓 001. Piece wise function sketch
23

023. Q23

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📚 Related Lectures
12.1.2.2 ADVFUN, PIECE-WISE FUNCTIONS, given function, sketch
🎓 002. Sketching Piecewise function with Absolute Value function
🎓 001. Piece wise function sketch
24

024. Q24

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📚 Related Lectures
12.1.2.2 ADVFUN, PIECE-WISE FUNCTIONS, given function, sketch
🎓 002. Sketching Piecewise function with Absolute Value function
🎓 001. Piece wise function sketch
25

025. Q25

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📚 Related Lectures
11.1.5 FUNCTIONS, QUADRATIC FUNCTIONS, given.input.f(g(x)), find.output
🎓 002. Input Variable for Quad Function
🎓 001. Given Quadratic, find f(2x)
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026. Q26

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📚 Related Lectures
11.1.1 FUNCTIONS, Linear Functions, given Input/Domain, find Output
🎓 001. Input into Linear Function
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027. Q27

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📚 Related Lectures
11.1.1 FUNCTIONS, Linear Functions, given Input/Domain, find Output
🎓 001. Input into Linear Function
28

028. Q28

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📚 Related Lectures
11.1.1 FUNCTIONS, Linear Functions, given Input/Domain, find Output
🎓 001. Input into Linear Function
29

029. Q29

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📚 Related Lectures
13.1.5 CALCULUS, FIRST PRINCIPLE, given.Difference.Quotient, find.f
🎓 001. Given Differential Quotient, find f
30

030. Q30

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📚 Related Lectures
13.1.5 CALCULUS, FIRST PRINCIPLE, given.Difference.Quotient, find.f
🎓 001. Given Differential Quotient, find f
31

031. Q31

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📚 Related Lectures
13.1.5 CALCULUS, FIRST PRINCIPLE, given.Difference.Quotient, find.f
🎓 001. Given Differential Quotient, find f
32

032. Q32

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📚 Related Lectures
Calculus, Tangents, Difference Quotient, given Difference of Rational, simplify
🎓 001. Difference Quotient
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033. Q33

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📚 Related Lectures
13.1.5 CALCULUS, FIRST PRINCIPLE, given.Difference.Quotient, find.f
🎓 001. Given Differential Quotient, find f
34

034. Q34

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📚 Related Lectures
13.1.5 CALCULUS, FIRST PRINCIPLE, given.Difference.Quotient, find.f
🎓 001. Given Differential Quotient, find f
35

035. Q35

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📚 Related Lectures
13.1.5 CALCULUS, FIRST PRINCIPLE, given.Difference.Quotient, find.f
🎓 001. Given Differential Quotient, find f
36

036. Q36

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📚 Related Lectures
13.1.5 CALCULUS, FIRST PRINCIPLE, given.Power.Function, find.Derivative
🎓 004. Summary
🎓 003. Derivative of y=x^3
🎓 002. Derivative for y=x^2
🎓 001. Introduction to Tangent Function, the Derivative
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037. Q37

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Answer
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038. Q38

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Answer
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039. Q39

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040. Q40

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041. Q41

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Answer
📚 Related Lectures
ADVFUN, Rational Functions, Deg1/Deg1, sketch
🎓 001. Sketching deg1/deg1 rational
42

042. Q42

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Answer
📚 Related Lectures
ADVFUN, Rational Functions, Deg1/Deg1, sketch
🎓 001. Sketching deg1/deg1 rational
43

043. Q43

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Answer
📚 Related Lectures
ADVFUN, Rational Functions, Deg1/Deg2, sketch
🎓 001. Sketching deg1 over deg2
🎓 002. Sketching Deg1 over deg2 with a hole
44

044. Q44

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Answer
📚 Related Lectures
ADVFUN, Rational Functions, Deg1/Deg1, sketch
🎓 001. Sketching deg1/deg1 rational
45

045. Q45

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Answer
📚 Related Lectures
11.2.3 SQRT FUNCTIONS, given.sqrt(linear), find.Domain.Range
🎓 001. Domain of SQRT Function
46

046. Q46

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47

047. Q47

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📚 Related Lectures
11.1.2 FUNCTIONS, RADICAL FUNCTION, given.Cubic.Roots, find.Domain.Range
🎓 001. Sketching Cubic Root Functions and Domain and Range
48

048. Q48

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Answer
📚 Related Lectures
11.2.3 SQRT FUNCTIONS, given.sqrt(linear), find.Domain.Range
🎓 001. Domain of SQRT Function
49

049. Q49

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Answer
📚 Related Lectures
11.2.3 SQRT FUNCTIONS, given.sqrt(linear), find.Domain.Range
🎓 001. Domain of SQRT Function
50

050. Q50

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📚 Related Lectures
12.6 AdvFun, Combined Functions, given Composite of Sqrt, find domain
🎓 001. Domain of Composite Function with SQRT and Rational
51

051. Q51

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📚 Related Lectures
12.6 AdvFun, Combined Functions, given Composite of Sqrt, find domain
🎓 001. Domain of Composite Function with SQRT and Rational
52

052. Q52

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📚 Related Lectures
12.6 AdvFun, Combined Functions, given Composite of Sqrt, find domain
🎓 001. Domain of Composite Function with SQRT and Rational
53

053. Q53

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📚 Related Lectures
12.6 AdvFun, Combined Functions, given Composite of Sqrt, find domain
🎓 001. Domain of Composite Function with SQRT and Rational
54

054. Q54

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📚 Related Lectures
12.6 AdvFun, Combined Functions, given Composite of Sqrt, find domain
🎓 001. Domain of Composite Function with SQRT and Rational
55

055. Q55

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Answer
📚 Related Lectures
12.6 AdvFun, Combined Functions, given Composite of Sqrt, find domain
🎓 001. Domain of Composite Function with SQRT and Rational
56

056. Q56

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📚 Related Lectures
12.6 AdvFun, Combined Functions, given Composite of Sqrt, find domain
🎓 001. Domain of Composite Function with SQRT and Rational
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057. Q57

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📚 Related Lectures
12.6 AdvFun, Combined Functions, given Composite of Sqrt, find domain
🎓 001. Domain of Composite Function with SQRT and Rational
58

058. Q58

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📚 Related Lectures
12.6 AdvFun, Combined Functions, given Composite of Sqrt, find domain
🎓 001. Domain of Composite Function with SQRT and Rational
59

059. Q59

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📚 Related Lectures
12.1 Advanced Functions, Polynomial, Word Problem, given Equation, solve
🎓 001. Polynomial word problem, model population, when is population zero
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060. Q60

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📚 Related Lectures
10.3.4 MATH, MODELLING WITH QUADRATICS, given Volume, solve
🎓 001. ph
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061. Q61

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📚 Related Lectures
11.2.3 ALGEBRA, RADICALS, given Radical Algebra Expression, evaluate with Substitution
🎓 001. Eval Sqrt expression
62

062. Q62

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📚 Related Lectures
10 Math, Quadratic Modelling, given Full Quadratic Equation Uncategorized, solve
🎓 001. Quadratic equation given with word problem, find the missing value using factoring
63

063. Q63

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📚 Related Lectures
10 Math, Quadratic Modelling, given Full Quadratic Equation Uncategorized, solve
🎓 001. Quadratic equation given with word problem, find the missing value using factoring
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064. Q64

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📚 Related Lectures
12.6.1 AdvFun, Composite Functions, given.Composite.Function.fog, decompose
🎓 001. Decomposition of functions
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065. Q65

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66

066. Q66

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📚 Related Lectures
12.1.2.2 ADVFUN, PIECE-WISE FUNCTIONS, given function, sketch
🎓 002. Sketching Piecewise function with Absolute Value function
🎓 001. Piece wise function sketch
67

067. Q67

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📚 Related Lectures
12.1.2.2 ADVFUN, PIECE-WISE FUNCTIONS, given function, sketch
🎓 002. Sketching Piecewise function with Absolute Value function
🎓 001. Piece wise function sketch
68

068. Q68

Question
📚 Related Lectures
12.1.2.2 ADVFUN, PIECE-WISE FUNCTIONS, given function, sketch
🎓 002. Sketching Piecewise function with Absolute Value function
🎓 001. Piece wise function sketch
69

069. Q69

Question
📚 Related Lectures
12.1.2.2 ADVFUN, PIECE-WISE FUNCTIONS, given function, sketch
🎓 002. Sketching Piecewise function with Absolute Value function
🎓 001. Piece wise function sketch
70

070. Q70

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072. Q72

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📚 Related Lectures
11.2.4 MODELLING, given.Data, find.linear.quad.exponential
🎓 001. ph
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073. Q73

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📚 Related Lectures
11.2.4 MODELLING, given.Data, find.linear.quad.exponential
🎓 001. ph
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