2.8 Inverse Functions

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Inverse functions

Created by

Olfat Lakkies

Kuwait

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Froggy Jumps 2.8 Inverse FunctionsOnline version Inverse functions by Olfat Lakkies 1 Which of the following best describes a one-to-one function? a Every 𝑥 has more than one 𝑦 b Every y has exactly one x c The graph passes the vertical line test only 2 Which test is used to determine whether a function is one-to-one? a Vertical line test b Slope test c Horizontal line test 3 If a function is one-to-one, then: a It has no domain b It has an inverse that is also a function c It must be quadratic 4 Which of the following functions is one-to-one? a f(x)=3x+4 b f(x)=∣x∣ c f(x)=x2−1 5 Which relation is NOT one-to-one? a {(1,2),(2,3),(3,4)} b {(3,3),(5,3),(7,4)} c {(0,1),(1,2),(2,3)} 6 Which statement is TRUE? a Every function has an inverse b Only decreasing functions are one-to-one c Only one-to-one functions have inverses 7 Which restriction makes 𝑓(𝑥)=𝑥2 one-to-one? a x≤0 b x≥0 c Both A and B 8 Given the function 𝑓={(1,3),(2,5),(4,7)} What is the inverse relation? a {(1,3),(2,5),(4,7)} b {(3,1),(5,2),(7,4)} c {(1,2),(3,4),(5,7)} 9 When graphing a function and its inverse, which statement is TRUE? a The graphs always overlap b The inverse graph must be above the original c The coordinates of points are swaped 10 If𝑓(𝑥)=2𝑥+1 What is f−1(x)? a 𝑥−1 b 2x−1 c (𝑥−1)/2

Froggy Jumps

2.8 Inverse FunctionsOnline version

Inverse functions

by Olfat Lakkies

Which of the following best describes a one-to-one function?

Every 𝑥 has more than one 𝑦

Every y has exactly one x

The graph passes the vertical line test only

Which test is used to determine whether a function is one-to-one?

Vertical line test

Slope test

Horizontal line test

If a function is one-to-one, then:

It has no domain

It has an inverse that is also a function

It must be quadratic

Which of the following functions is one-to-one?

f(x)=3x+4

f(x)=∣x∣

f(x)=x2−1

Which relation is NOT one-to-one?

{(1,2),(2,3),(3,4)}

{(3,3),(5,3),(7,4)}

{(0,1),(1,2),(2,3)}

Which statement is TRUE?

Every function has an inverse

Only decreasing functions are one-to-one

Only one-to-one functions have inverses

Which restriction makes 𝑓(𝑥)=𝑥2 one-to-one?

x≤0

x≥0

Both A and B

Given the function 𝑓={(1,3),(2,5),(4,7)} What is the inverse relation?

{(1,3),(2,5),(4,7)}

{(3,1),(5,2),(7,4)}

{(1,2),(3,4),(5,7)}

When graphing a function and its inverse, which statement is TRUE?

The graphs always overlap

The inverse graph must be above the original

The coordinates of points are swaped

If𝑓(𝑥)=2𝑥+1 What is f−1(x)?

𝑥−1

2x−1

(𝑥−1)/2

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2.8 Inverse Functions

Froggy Jumps

About this activity

Created by

Download the paper version to play

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2.8 Inverse FunctionsOnline version

by Olfat Lakkies

Which of the following best describes a one-to-one function?

Which test is used to determine whether a function is one-to-one?

If a function is one-to-one, then:

Which of the following functions is one-to-one?

Which relation is NOT one-to-one?

Which statement is TRUE?

Which restriction makes 𝑓(𝑥)=𝑥2 one-to-one?

Given the function 𝑓={(1,3),(2,5),(4,7)} What is the inverse relation?

When graphing a function and its inverse, which statement is TRUE?

If𝑓(𝑥)=2𝑥+1 What is f−1(x)?

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