Function Relationship

Which graph represents a linear function of x?

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A function has the following properties:

-Increasing and linear between -5 and -3

-Constant between -3 and 0

-Decreasing and linear between 0 and 3

-Increasing and nonlinear between 3 and 5

Which graph below would show this?

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In comparing the rates of change(slope), which statement about Function M and Function P is true?

• Their rates of change differ by 2.

• Their rates of change differ by 4.

• Function M has a greater rate of change than Function P.

• Function M and Function P have the same rate of change.

Line n passes through the points (-3,-7.5) and (2,-5). What is the slope of this line?

• y= -0.5x

• y=0.5x

• y= -2x

• y=2x

Each x-value has exactly one y-value

• dilation

• linear

• proportional

• function

The graph of a linear function passes through the points (-1, -1/4) and (1, -3/4).

Which equation represents the function?

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Which representation shows y as a function of x?

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A water tank currently contains 275 gallons of water. The amount of water in the tank will decrease at a constant rate of 15 gallons per week.

Which function can be used to find t, the total number of gallons of water in the tank after w weeks?

• t = 15w − 275

• t = −15w + 275

• t = 275w − 15

• t = −275w + 15

The scatterplot shows the height in centimeters and weight in kilograms of several students.

Based on the scatterplot, which is the best prediction of the height in centimeters of a student with a weight of 64 kilograms?

• 152 cm

• 160 cm

• 162 cm

• 156 cm

A teacher bought markers at a cost of $3 per set. The teacher had a $2-off coupon to use toward the total cost of the markers bought.

Which table shows the relationship between x, the number of sets of markers bought by the teacher, and y, the total cost of the markers?

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