Question

For the function below, state the x-coordinate of the x-intercept that is located to the left of the origin

f(x)=4x^3-12x^2 - x + 15

Answer 1

The x-coordinate of the x-intercept is -1.

Explanation:

Answer 2

The x-coordinate of the x-intercept that is located to the left of the origin is equal to -1

Explanation:

we have the function

`f(x)=4x^3-12x^2-x+15`

we know that

The x-intercepts are the values of x when the value of the function is equal to zero

using a graphing tool

The function has three x-intercepts

The x-intercepts are the points

(-1,0),(1.5,0) and (2,5,0)

see the attached figure

The x-intercept that is located to the left of the origin is the point (-1,0)

therefore

The x-coordinate of the x-intercept that is located to the left of the origin is equal to -1