Question

What are the intercepts of the function?

Answer 1

Answer:

-1 and -11 are x-intercepts,  y-intercept = 11.

Step-by-step explanation:

given function: f(x) = x^2 + 12x + 11.

• x-intercepts: value of the function when f(x) is zero.

so, 0= x^2 + 12x + 11.

write 12x as 11x+x,

x^2 + x+11x + 11=0

common terms,

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

• so, -1 and -11 are x-intercepts. because, when we substitute these as x values, the f(x) will be zero.

• y-intercept: value of the function f(x) when x=0 i.e, f(0).

so,  y-intercept= 0+0+11 = 11.