6. given the function rule f(x) = x^2 - 3x + 2, what is the output of f(-2)?

a. -8
b. 0
c. 4
d. 12**

please help!!!

f(-2) = (-2)^2 - 3*(-2)+2=4+3*2+2=4+6+2=12

agree

To find the output of the function f(x) = x^2 - 3x + 2 when x = -2, substitute -2 into the equation.

f(-2) = (-2)^2 - 3(-2) + 2

Simplifying further:

f(-2) = 4 + 6 + 2

f(-2) = 12

Therefore, the output of f(-2) is 12.

So, the correct answer is d. 12.

To find the output of a function, you need to substitute the given input into the function and evaluate it. In this case, you are given the function f(x) = x^2 - 3x + 2 and asked to find f(-2).

To find f(-2), substitute -2 for x in the function f(x):

f(-2) = (-2)^2 - 3(-2) + 2
= 4 + 6 + 2
= 12

Therefore, the output of f(-2) is 12. So, the correct answer is option d.