What are the intercepts of the function?
1 answer:
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.
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hope this helped