Question

Part 1: Multiple Choice

Answer 1

Option C: (0,125) is the y - intercept.

Explanation:

The given function is $f(x)=x^3-5x^2-25x+125$

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 $f(x)=x^3-5x^2-25x+125$, we have,

$f(x)=(0)^3-5(0)^2-25(0)+125$

Simplifying the terms, we get;

$f(x)=0-5(0)-25(0)+125$

$f(x)=0-0-0+125$

$f(x)=125$

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.