Question

Let ​ f(x)=x^2−10x−11 ​.
Enter the x-intercepts of the quadratic function in the boxes.

Answer 1

For Future Reference____

-1 & 11 are the X Intercepts

Answer 2

The y-intercept is (0,-11)

The x-intercepts are:

(-1,0) and (11,0)

Step-by-step explanation

The given function is

`f(x) = {x}^(2) - 10x - 11`

To find the y-intercept, we put x=0 into the function.

`f(0) = {0}^(2) - 10(0) - 11`

`f(0) = - 11`

The y-intercept is (0,-11)

To find the x-intercepts, we put f(x)=0.

`{x}^(2) - 10x - 11 = 0`

`(x + 1)(x - 11) = 0`

This implies that,

`x = - 1 \: or \: x = 11`

The x-intercepts are:

(-1,0) and (11,0)