Unit 1 and 2

A hair salon charges a fixed rate of $25.00 for a haircut and then an additional $15 for any other services. Write a function to model the cost of services. How many services you had if you were charged $25?

• f(x)=15x+25; 0 other services

• f(x)=25x+15; 4 other services

• f(x)=15x+25; 1 other service

• f(x)=25x+15; 0 other services

Identify the graphed linear equation.

• y = 3.5x + 3.5

• y = 3.5x - 3.5

• y = - 3.5x + 3.5

• y = - 3.5x - 3.5

Given ƒ(x) = 8x − 15, find x when ƒ(x) = 9.

• 3

• 2

• 6

• 9

Which statement is TRUE about the graph?

• The exponential function is increasing at a greater rate than the linear function.

• The linear function is increasing at the same rate as the exponential function.

• It is not possible to determine the rate of increase between a line and a curve.

• The linear function is increasing at a greater rate than the exponential function.

• x-intercept (-1/3, 0)

• y-intercept (0,1)

• x-intercept (1/6,0)

• y-intercept (0,-1/6)

As x approaches ∞, which statement BEST compares these functions?

• The exponential function will eventually exceed the linear function.

• The linear function will eventually exceed the exponential function.

• The exponential function will exceed the linear function because is has a lower initial value.

• The linear function will exceed the exponential function because it has a greater initial value.

What is the zero of this function?

• 10

• 8

• 800

• 80

For which functions would the appropriate domain be all positive integers?

• The function f(n) models the size of a jar that holds n marbles.

• The function f(y) models the number of inches a tree grows in n years.

• The function f(r) models the circumference of a balloon based on radius, r.

The endpoints of a line segment graphed on the coordinate system are (−7, 3) and (2, 5). What is the domain of the graph?

Find f(-3). f(x) = 4x + 7

• -5

• 5

• 6

• 10