IfF(x)= -3x if x < -1 0 if x = -1 2x^2+1 if x > -1 Find (a) f(-2) (b) f(-1) (c) f(0)

Lisa Hardin

Lisa Hardin

Answered question

2022-07-27

If F(x)=-3x if x < -1
0 if x = -1
2 x 2 + 1 if x > -1
Find (a) f(-2) (b) f(-1) (c) f(0)

Answer & Explanation

Urijah Hahn

Urijah Hahn

Beginner2022-07-28Added 13 answers

In order to solve this function, you have torealize that this function has three different conditions for whichx can affect F(x). Hence why F(x) equals to three differentproblems. Depending on what your x equals to, you have to use the proper F(x) that matches the condition of your particular x.
So for (a):
F(-2) = F(x) equals to what when x = -2?
One of the conditions is F(x) = -3x when x < -1
So in that case, since your x = -2 is less than -1, your F(x)= -3x or really F(-2) = -3(-2) = 6
Same rules apply for (b) and (c):
(b) F(-1), F(x) = 0 if x = -1 and x = -1, therefore F(-1) = 0
(c) F(0), F ( x ) = 2 x 2 + 1 if x > -1 and x = 0, therefore F ( 0 ) = F ( x ) = 2 ( 0 ) 2 + 1 = 1
In conclusion: (a) = 6, (b) = 0 and (c) = 1

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?