What are the domain and range of the function?

a. domain: {–8, –1, 0, 1, 8, 27}; range: {–2, –1, 0, 1, 2, 3}

b. domain: {–2, –1, 0, 1, 8, 27}; range: {–8, –1, 0, 1, 2, 3}

c. domain: {–2, –1, 0, 1, 2, 3}; range: {–8, –1, 0, 1, 8, 27}

d. domain: {0, 1, 2, 3, 8, 27}; range: {–8, –2, –1}

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)