Question

Enter the letter of the graphed function.

a. y = (x + 2)(x - 1)³(x-3)
b. y = (x + 2)(x - 1)(x-3)³
c. y = (x + 2)(x - 1)²(x - 3)²
d. y = (x - 1)(x-3)²(x + 2)²
e. y = (x + 2)²(x-1)²(x-3)
10

Answer 1

d. y = (x - 1)(x-3)²(x + 2)²

Explanation:

When there is a local max or local min on the x-intercept, then the function on the x-intercept is raised to an even power.

At x=3 and x=-2, the function goes up then down, or down then up.

If the function goes through an x-intercept when there is no local max or local min on the x-intercept, then the function on the x-intercept is raised to an odd power.

At x=1, the function goes through the x-intercept.

Hence, d is the answer.