Respuesta :
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:
15
Step-by-step explanation:
The given function is
[tex]f(x)=4x^3-12x^2-x+15[/tex]
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.
[tex]f(0)=4(0)^3-12(0)^2-(0)+15[/tex]
[tex]f(0)=4(0)-12(0)-(0)+15[/tex]
On further simplification we get
[tex]f(0)=0+15[/tex]
[tex]f(0)=15[/tex]
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.
