Question

Consider the following piecewise-defined function.

Answer 1

In order to solve this, we need to select the function that meets our constraints. Since x^2 - 5 occurs when x is less than 3, and the x-value we are given is -4, we use the first function.

f(-4) = (-4)^2 - 5
f(-4) = 16 - 5
f(-4) = 11

Answer 2

Answer is 11

Explanation:

Given in a piecewise function as

`f(x) = x^2-5, x<3\\f(x) = 2x^2+5,x>3`

We find that the above function is defined for all real values of x except at x =3

We are to find out f(-4)

Since
`-4<3,` we substitute -4 in the first function

`f(-4) = (-4)^2-5= 11`

Thus we get answer as 11