Question

What is the y intercept of the following function f(x) f(x) = (x - 2)(x+1)(x–5)

Answer 1

Answer:

y-inter10

Explanation:

Given the function f(x) defined below:

$f\mleft(x\mright)=(x-2)\mleft(x+1\mright)\mleft(x-5\mright)$

The y-intercept of any function is the value of f(x) when x=0.

$\begin{gathered} \text{When x=0} \\ f\mleft(x\mright)=(x-2)\mleft(x+1\mright)\mleft(x-5\mright) \\ f\mleft(0\mright)=(0-2)\mleft(0+1\mright)\mleft(0-5\mright) \\ =-2\times1\times-5 \\ =10 \end{gathered}$

The y-intercept of f(x) is 10.