Deck 11: Section 2: Functions

Question 1

Let f(x) = -2x - 4 and g(x) = x² + 10x. Find (f ·g)(4).

Answer 1

-672

Question 2

Graph .

Answer 2

Question 3

How are the graphs of f(x) = (x + 4)² and g(x) = -(x + 4)² related?

Answer 3

The graph of g(x) is the same as that of f(x), but reflected about the x-axis.

Question 4

Which choice below is the correct graph of ?

Question 5

Determine all asymptotes for the graph of the given function.

Question 6

A gas station charges $1.67 per gallon for regular gasoline. Write an expression for the cost c(g) as a function of the number of gallons g and use this function to determine c(13).

Question 7

Find the domain of the given rational function.

Question 8

Determine whether the relation |2x| = |-8y| is a function.

Question 9

How are the graphs of and related?

Question 10

Graph the function .

Question 11

For the given polynomial, find the x-intercepts and determine the behavior of the graph of the polynomial at each x-intercept.
f(x) = x² + 2x - 3

Question 12

Graph .

Question 13

Give the correct domain and range of the relation .
{(-5, 4), (5, 4)}

Question 14

Let f(x) = x² - 2x + 3, g(x) = -2x + 2, and h(x) = |x - 3|. Evaluate .

Question 15

Determine whether the table expresses the second variable as a function of the first variable.

Question 16

How are the graphs of f(x) = x² and g(x) = x² + 7 related?

Question 17

Graph .

Question 18

To the nearest integer, determine the x- and y-intercepts of the graph of the quartic function.

Question 19

Graph .

Question 20

Graph .

Question 21

Graph the given function and its inverse. for

Question 22

Let f(x) = 3x - 6 and g(x) = x² - x. Find .

Question 23

Determine whether f(x) = 2x and g(x) = 0.5x are inverses of each other.

Question 24

Determine whether the given function is invertible. If it is invertible, then find its inverse.
{(-5,4),(-1,1),(-13,5)}

Question 25

Determine for .