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.

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)=1/2x−8
f of x equals Start Fraction 1 over 2 End Fraction x minus 8

f(y)=8x−1/2
f of y equals 8 x minus Start Fraction 1 over 2 End Fraction

f(y)=1/2x−8
f of y equals Start Fraction 1 over 2 End Fraction x minus 8

f(x)=8x−1/2

Answer 1

f(x) = (1/2)x − 8

Slope = change in f / change in x = (−7.5 − (−8)) / (1 − 0) = 0.5, and f(0) = −8 so the equation is f(x) = 1/2 x − 8.