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 2022-07-27 Answered
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)
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Answers (1)

Urijah Hahn
Answered 2022-07-28 Author has 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
Did you like this example?
Subscribe for all access

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more