Question 1

Determine whether or not the function is one-to-one.&#10;

Accepted Answer

A

Question 2

Determine whether or not the function is one-to-one.&#10;

Accepted Answer

B

Question 3

Determine whether or not the function is one-to-one.&#10;

Accepted Answer

A function is one-to-one if it passes the Horizontal Line Test, meaning no horizontal line intersects the graph of the function at more than one point. For the given function $f(x) = \frac{-9x - 5}{7x + 4}$, it is a rational function that does not repeat any y-value for different x-values, as its derivative does not equal zero for any real number, indicating it is always decreasing or increasing, thus passing the Horizontal Line Test.

Question 4

Determine whether or not the function is one-to-one.&#10;

Accepted Answer

The answer of Determine whether or not the function is...

Question 5

Determine whether or not the function is one-to-one.&#10;

Accepted Answer

A function is one-to-one if each x-value maps to exactly one unique y-value, and no two x-values map to the same y-value. The given function $f(x) = 164 - x^2$ is a downward-opening parabola, which means for every y-value (except the vertex), there are two corresponding x-values. This violates the one-to-one criterion, making the function not one-to-one.

Question 6

Determine whether or not the function is one-to-one.&#10;

Accepted Answer

The function $f(x) = \sqrt[3]{6x - 5}$ is one-to-one because the cubic root function, combined with a linear function inside it, is always increasing or always decreasing. This ensures that for each output, there is exactly one input, satisfying the definition of a one-to-one function.

Question 7

Determine whether or not the function is one-to-one.&#10;

Accepted Answer

A function is one-to-one if each output is the result of exactly one input. The given function $f(x) = (2x - 7)^2$ is not one-to-one because squaring any input results in a positive output, meaning two different inputs can produce the same output. For example, $f(4) = f(-3) = 1$, showing that it fails the horizontal line test.

Question 8

Determine whether or not the function is one-to-one.&#10;

Accepted Answer

The function $f(x) = -3.04$ is not one-to-one because it maps every input $x$ to the same output $-3.04$, meaning multiple inputs have the same output.

Question 9

Determine whether or not the function is one-to-one.&#10;

Accepted Answer

The answer of Determine whether or not the function is...

Question 10

Determine whether or not the function is one-to-one.&#10;

Accepted Answer

The function $f(x) = x^2 - 2$ is not one-to-one because for any given y-value, there can be two different x-values that produce the same y-value (one positive and one negative), violating the definition of a one-to-one function.

Question 11

Determine whether or not the function is one-to-one.&#10;

Accepted Answer

The answer of Determine whether or not the function is...

Question 12

Determine whether or not the function is one-to-one.&#10;

Accepted Answer

The answer of Determine whether or not the function is...

Question 13

Decide whether the given functions are inverses.&#10;

Accepted Answer

The answer of Decide whether the given functions are inverses.&#10;...

Question 14

Determine whether or not the function is one-to-one.&#10;

Accepted Answer

The answer of Determine whether or not the function is...

Question 15

Determine whether or not the function is one-to-one.&#10;

Accepted Answer

The answer of Determine whether or not the function is...

Question 16

Decide whether the given functions are inverses.&#10;

Accepted Answer

The answer of Decide whether the given functions are inverses.&#10;...

Question 17

Determine whether or not the function is one-to-one.&#10;

Accepted Answer

The answer of Determine whether or not the function is...

Question 18

Determine whether or not the function is one-to-one.&#10;

Accepted Answer

The answer of Determine whether or not the function is...

Question 19

Determine whether or not the function is one-to-one.&#10;

Accepted Answer

The answer of Determine whether or not the function is...

Question 20

Determine whether or not the function is one-to-one.&#10;

Accepted Answer

The answer of Determine whether or not the function is...

Question 21

Decide whether the pair of functions graphed are inverses.&#10;

Accepted Answer

The answer of Decide whether the pair of functions graphed...

Question 22

Decide whether or not the functions are inverses of each other.Use the definition of inverses to determine whether f and&#10;g are inverses.&#10;

Accepted Answer

The answer of Decide whether or not the functions are...

Question 23

Decide whether the given functions are inverses.&#10;

Accepted Answer

The answer of Decide whether the given functions are inverses.&#10;...

Question 24

Decide whether or not the functions are inverses of each other.Use the definition of inverses to determine whether f and&#10;g are inverses.&#10;

Accepted Answer

The answer of Decide whether or not the functions are...

Question 25

Decide whether or not the functions are inverses of each other.Use the definition of inverses to determine whether f and&#10;g are inverses.&#10;

Accepted Answer

The answer of Decide whether or not the functions are...

Question 26

Decide whether or not the functions are inverses of each other.Use the definition of inverses to determine whether f and&#10;g are inverses.&#10;

Accepted Answer

The answer of Decide whether or not the functions are...

Question 27

Decide whether the given functions are inverses.&#10;

Accepted Answer

The answer of Decide whether the given functions are inverses.&#10;...

Question 28

Decide whether the pair of functions graphed are inverses.&#10;

Accepted Answer

The answer of Decide whether the pair of functions graphed...

Question 29

Decide whether the pair of functions graphed are inverses.&#10;

Accepted Answer

The answer of Decide whether the pair of functions graphed...

Question 30

Decide whether or not the functions are inverses of each other.Use the definition of inverses to determine whether f and&#10;g are inverses.&#10;

Accepted Answer

The answer of Decide whether or not the functions are...

Question 31

Decide whether the given functions are inverses.&#10;

Accepted Answer

The answer of Decide whether the given functions are inverses.&#10;...

Question 32

Decide whether the pair of functions graphed are inverses.&#10;

Accepted Answer

The answer of Decide whether the pair of functions graphed...

Question 33

Decide whether the given functions are inverses.&#10;

Accepted Answer

The answer of Decide whether the given functions are inverses.&#10;...

Question 34

Decide whether the pair of functions graphed are inverses.&#10;

Accepted Answer

The answer of Decide whether the pair of functions graphed...

Question 35

Decide whether or not the functions are inverses of each other.Use the definition of inverses to determine whether f and&#10;g are inverses.&#10;

Accepted Answer

The answer of Decide whether or not the functions are...

Question 36

Decide whether or not the functions are inverses of each other.Use the definition of inverses to determine whether f and&#10;g are inverses.&#10;

Accepted Answer

The answer of Decide whether or not the functions are...

Question 37

Decide whether the given functions are inverses.&#10;

Accepted Answer

The answer of Decide whether the given functions are inverses.&#10;...

Question 38

Decide whether the given functions are inverses.&#10;

Accepted Answer

The answer of Decide whether the given functions are inverses.&#10;...

Question 39

Decide whether or not the functions are inverses of each other.Use the definition of inverses to determine whether f and&#10;g are inverses.&#10;

Accepted Answer

The answer of Decide whether or not the functions are...

Question 40

Decide whether the given functions are inverses.&#10;

Accepted Answer

The answer of Decide whether the given functions are inverses.&#10;...

Question 41

An everyday activity is described. Keeping in mind that an inverse operation ʺundoesʺ what an operation does, describe
each inverse activity.
setting a clock forward by one hour

A) moving your schedule backward by one hour
B) setting the clock backward by one hour
C) leaving the clock as it is
D) setting the clock forward by two hours

Accepted Answer

The answer of An everyday activity is described. Keeping in...

Question 42

If the function is one-to-one, find its inverse. If not, write &#698;not one-to-one.&#698;&#10;

Accepted Answer

The answer of If the function is one-to-one, find its...

Question 43

If the function is one-to-one, find its inverse. If not, write &#698;not one-to-one.&#698;&#10;

Accepted Answer

The answer of If the function is one-to-one, find its...

Question 44

If the function is one-to-one, find its inverse. If not, write &#698;not one-to-one.&#698;&#10;

Accepted Answer

The answer of If the function is one-to-one, find its...

Question 45

If the function is one-to-one, find its inverse. If not, write &#698;not one-to-one.&#698;&#10;

Accepted Answer

The answer of If the function is one-to-one, find its...

Question 46

If the function is one-to-one, find its inverse. If not, write &#698;not one-to-one.&#698;&#10;

Accepted Answer

The answer of If the function is one-to-one, find its...

Question 47

If the function is one-to-one, find its inverse. If not, write &#698;not one-to-one.&#698;&#10;

Accepted Answer

The answer of If the function is one-to-one, find its...

Question 48

Use a graphing calculator to graph the function using the given viewing window. Use the graph to decide if the function
is one-to-one. If the function is one-to-one, give the equation of the inverse function.

Accepted Answer

The answer of Use a graphing calculator to graph the...

Question 49

An everyday activity is described. Keeping in mind that an inverse operation ʺundoesʺ what an operation does, describe
each inverse activity.
opening a door

A) opening the window
B) closing the door
C) locking the door
D) going out of the door

Accepted Answer

The answer of An everyday activity is described. Keeping in...

Question 50

If the function is one-to-one, find its inverse. If not, write &#698;not one-to-one.&#698;&#10;

Accepted Answer

The answer of If the function is one-to-one, find its...

Question 51

An everyday activity is described. Keeping in mind that an inverse operation ʺundoesʺ what an operation does, describe
each inverse activity.
opening a door

A) opening the window
B) closing the door
C) locking the door
D) going out of the door

Accepted Answer

The answer of An everyday activity is described. Keeping in...

Question 52

If the function is one-to-one, find its inverse. If not, write &#698;not one-to-one.&#698;&#10;

Accepted Answer

The answer of If the function is one-to-one, find its...

Question 53

If the function is one-to-one, find its inverse. If not, write &#698;not one-to-one.&#698;&#10;

Accepted Answer

The answer of If the function is one-to-one, find its...

Question 54

If the function is one-to-one, find its inverse. If not, write &#698;not one-to-one.&#698;&#10;

Accepted Answer

The answer of If the function is one-to-one, find its...

Question 55

If the function is one-to-one, find its inverse. If not, write &#698;not one-to-one.&#698;&#10;

Accepted Answer

The answer of If the function is one-to-one, find its...

Question 56

If the function is one-to-one, find its inverse. If not, write &#698;not one-to-one.&#698;&#10;

Accepted Answer

The answer of If the function is one-to-one, find its...

Question 57

If the function is one-to-one, find its inverse. If not, write &#698;not one-to-one.&#698;&#10;

Accepted Answer

The answer of If the function is one-to-one, find its...

Question 58

If the function is one-to-one, find its inverse. If not, write &#698;not one-to-one.&#698;&#10;

Accepted Answer

The answer of If the function is one-to-one, find its...

Question 59

If the function is one-to-one, find its inverse. If not, write &#698;not one-to-one.&#698;&#10;

Accepted Answer

The answer of If the function is one-to-one, find its...

Question 60

If the function is one-to-one, find its inverse. If not, write &#698;not one-to-one.&#698;&#10;

Accepted Answer

The answer of If the function is one-to-one, find its...

Question 61

Use the graph of f to sketch a graph of the inverse of f using a dashed curve.&#10;

Accepted Answer

The answer of Use the graph of f to sketch...

Question 62

Find the domain and range of the inverse of the given function.&#10;f(x) = 8x + 6

Accepted Answer

The answer of Find the domain and range of the...

Question 63

For the function as defined that is one-to-one, graph f and f-1 on the same axes.&#10;

Accepted Answer

The answer of For the function as defined that is...

Question 64

For the function as defined that is one-to-one, graph f and f-1 on the same axes.&#10;

Accepted Answer

The answer of For the function as defined that is...

Deck 4: Inverse, Exponential, and Logarithmic Functions