let F(x) = x^2-2x if x<2

= x +1 if x>2
Evaluate
f(-2)=
f(3)=
f(2)=

Your question tells you which function fo use for x=-2 and x=3. You have not provided data on which function to use for x=2. You may omitted a bar under either an > or < sign in your statement of the problem.

Surely you can evaluate x+1 if you know what x is, as in the f(x=3) case .

Hello

my appologies, i am a older women just going to college, i have been out of school for over 25 years. would you be so kind to give me an example of the problem f (-2) Thank you

Of course! I'll be happy to help you with the problem.

For the function f(x), you have two different expressions depending on the value of x:

1. If x is less than 2, then f(x) = x^2 - 2x.
2. If x is greater than 2, then f(x) = x + 1.

To evaluate f(-2), we need to determine which expression to use since -2 is less than 2.
In this case, we use f(x) = x^2 - 2x. So, substituting -2 for x, we get:

f(-2) = (-2)^2 - 2(-2)
= 4 + 4
= 8

So, f(-2) equals 8.

For f(3), we need to use the second expression since 3 is greater than 2.
Using f(x) = x + 1, we substitute 3 for x:

f(3) = 3 + 1
= 4

Therefore, f(3) equals 4.

Now, for f(2), we encounter a bit of a problem because the value of 2 is exactly at the boundary between the two expressions. There is no clear indication of which expression to use in this case. You might want to double-check the problem statement or ask your professor for clarification.

Please let me know if there's anything else I can assist you with!