What are the intercepts of the function?

The x-intercepts are

Consider the function f (x) = x2 + 12x + 11.

x-intercepts:

0 = x2 + 12x + 11

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

The y-intercept is

y-intercept

f (0) = (0) 2 + 12 (0) + 11

) Intro

Done

see explanation

Step-by-step explanation:

To find the x - intercepts let f (x) = 0, that is

x² + 12x + 11 = 0 ← in standard form

(x + 1) (x + 11) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

x + 11 = 0 ⇒ x = - 11

The x - intercepts are x = - 11 and x = - 1

To find the y - intercept let x = 0, that is

f (0) = 0² + 12 (0) + 11 = 0 + 0 + 11 = 11

The y - intercept is 11