Question

Use the image to answer the question.

Two side-by-side shaded ovals labeled x and f left parenthesis x right parenthesis each display a list of values. Four arrows point from the values in the left oval, x, to the values in the right oval, f of x.
▶Click for Long Desc

Image Long DescriptionValues listed in x are 0, 1, 2, and 3. Values listed in f of x are negative 8, negative 7 and one-half, negative 7, and negative 6 and one-half. Arrows pointing from the values in x to the values in f of x are as follows: 0 to negative 8, 1 to negative 7 and one-half, 2 to negative 7, and 3 to negative 6 and one-half.

Which equation describes the function shown in the mapping diagram?

(1 point)
Responses

f(x)=8x−12

f of x equals 8 x minus Start Fraction 1 over 2 End Fraction

f(y)=12x−8

f of y equals Start Fraction 1 over 2 End Fraction x minus 8

f(y)=8x−12

f of y equals 8 x minus Start Fraction 1 over 2 End Fraction

f(x)=12x−8

Answer 1

The function is f(x) = (1/2)x − 8.

Reason: f(0) = −8 gives the intercept −8, and each increase of 1 in x increases f(x) by 0.5, so the slope is 1/2.