The graph shows the function f(x). on a coordinate plane, a cube root function goes through (8, 2), has an inflection point at (0, negative 1), and goes through (8, negative 3). which equation represents f(x)? f(x) = negative rootindex 3 startroot x endroot f(x) = negative rootindex 3 startroot x minus 1 endroot f(x) = negative rootindex 3 startroot negative x endroot minus 1 f(x) = negative rootindex 3 startroot negative x endroot

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.