Question

Consider the following piecewise-defined function.

Answer 1

Answer:

Answer is 11

Step-by-step explanation:

Given in a piecewise function as

$f(x) = x^2-5, x3$

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 $-4$ we substitute -4 in the first function

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

Thus we get answer as 11

Answer 2

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