Evaluating Functions

Ms. Gibson made an initial deposit of $500 when opening a bank account. After the initial deposit, she deposited the same amount of money each month. The table below shows the total amount of money, a, she deposited into the account after a certain number of months, t, since opening it. Which equation models the relationship between a and t ?

• a = 250t

• a = 500t

• a = 250t + 500

• a = 500t + 250

Which statement explains the type of function that is represented by the equation y = x^2 + 9?

• The function is linear because it contains more than one term.

• The function is linear because the variable x is raised to the second power.

• The function is nonlinear because it contains more than one term.

• The function is nonlinear because the variable x is raised to the second power.

A function has the following properties:

~It is increasing and linear when the value of x is between -5 and -3.

~It remains constant when the value of x is between -3 and 0.

~It is decreasing and linear when the value of x is between 0 and 3.

~It is increasing and nonlinear when the value of x is between 3 and 5.

What graph best represents this function?

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• 
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Which set of ordered pairs represents a function?

• {(2, 7), (2, 8), (3, 8)}

• {(3, 2), (3, 3), (3, 4)}

• {(4, 1), (5, 1), (4, 4)}

• {(5, 6), (8, 6), (9, 6)}

A car traveled 36 miles in 45 minutes. The car traveled at a constant speed. If the car continues to travel at this rate, which equation can be used to determine y, the total number of miles the car will travel, in x hours?

• y = 48x

• y = x + 48

• 48y = x

• 48 + y = x

The points (2, -2) and (-4, 13) lie on the graph of a linear function of x. Which point also lies on the graph of this function?

• (-6, 18)

• (-1, 5)

• (7, 14.5)

• (13, -4)

Two photographers offer different pricing plans for their services. The graph below models the prices Photographer A charges. The table below shows the prices Photographer B charges. Each photographer charges a one time equipment fee and an hourly rate. Which statement about the two pricing plans is true?

• Photographer A charges $15 per hour more than Photographer B.

• Photographer B charges $15 per hour more than Photographer A.

• Photographer A's equipment fee is $25 less than Photographer B's.

• Photographer B's equipment fee is $25 less than Photographer A's

Which statement best explains whether these ordered pairs represent a function?

(-4,2), (6,7), (-8,3), (9,10), (12,14), (6,9)

• The ordered pairs represent a function because no output values are repeated.

• The ordered pairs represent a function because each output value is greater than each input value.

• The ordered pairs do not represent a function because one input value has two different output values.

• The ordered pairs do not represent a function because the difference between the input and output of each ordered pair is not the same.

The graph of a function is shown. Which statement is true about a section of the graph?

• In section N, the function is linear and decreasing.

• In section P, the function is linear and increasing.

• In section Q, the function is nonlinear and decreasing.

• In section R, the function is nonlinear and increasing.

The table represents linear Function F. The equation y= 4x+2 represents Function G. Which statement is true?

• The rate of change of Function G is less than the rate of change of Function F because 2<3.

• The rate of change of Function G is less than the rate of change of Function F because 4<9.

• The rate of change of Function G is greater than the rate of change of Function F because 2>9/7

• The rate of change of Function G is greater than the rate of change of Function F because 4>3.