Question

Values 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.


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(y)=8x−1/2

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

f(x)=8x−1/2

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

f(x)=1/2x−8

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

f(y)=1/2x−8

Answer 1

Use two points to find slope: from (0, −8) to (1, −7.5) the rise is 0.5 for run 1, so slope = 1/2. The y‑intercept is −8 (at x = 0). Thus the equation is

f(x) = (1/2)x − 8.