Question

State the y-coordinate of the y-intercept for the function below f(x)=4x^(3)-12x^(2)-x+15

Answer 1

Note that the y-intercept is the intersection of any graph, in this case a polynomial function, and the y-axis. Furthermore, all points on the y-axis has a value of 0 for x.

Therefore, replace 0 for x and the value remaining is the y-intercept.

The answer will (0,15).

Answer 2

15

Explanation:

The given function is

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

We need to find the y-coordinate of the y-intercept for the given function.

Substitute x=0 in the given function to find the y-intercept of the function.

`f(0)=4(0)^3-12(0)^2-(0)+15`

`f(0)=4(0)-12(0)-(0)+15`

On further simplification we get

`f(0)=0+15`

`f(0)=15`

The function intersect y-axis at (0,15).

x-coordinate of the y-intercept = 0

y-coordinate of the y-intercept = 15

Therefore the y-coordinate of the y-intercept for the given function is 15.