Respuesta :
Option C: (0,125) is the y - intercept.
Explanation:
The given function is [tex]f(x)=x^3-5x^2-25x+125[/tex]
We need to determine the y - intercept.
The value of y - intercept:
The y - intercept is the value of y when x = 0
The y - intercept of the function can be determined by substituting x = 0 in the function.
Hence, let us substitute x = 0 in the function [tex]f(x)=x^3-5x^2-25x+125[/tex], we have,
[tex]f(x)=(0)^3-5(0)^2-25(0)+125[/tex]
Simplifying the terms, we get;
[tex]f(x)=0-5(0)-25(0)+125[/tex]
[tex]f(x)=0-0-0+125[/tex]
[tex]f(x)=125[/tex]
Thus, the value of y is 125.
Hence, the y - intercept is 125.
Therefore, the coordinates of the y - intercept are (0,125)
Hence, Option C is the correct answer.
