Question

Please someone help me with these equations

Answer 1

A. -2 2/3
B. -4
C. 1 1/3
You’re going to use the first equation for every number that is not 1 and when x is one, the answer will always be 4

Answer 2

Answer:

$f (-2) =-\frac{8}{3}$

$f (4) =\frac{4}{3}$

$f (1) = - 4$

Step-by-step explanation:

For this case it has a piecewise function composed of two functions.

To evaluate the piecewise function observe the condition.

$f (x) = \frac{1}{3}x ^ 2 -4$ when $x \neq 1$

$f (x) = -4$ when $x = 1$

We start by evaluating $f(-2)$, note that $x = -2\neq 1$. Then we use the quadratic function:

$f (-2) = \frac{1}{3}(-2) ^ 2 -4 = -\frac{8}{3}$

Now we evaluate $f(4)$ note that $x = 4\neq 1$. Then we use the quadratic function:

$f (4) = \frac{1}{3}(4) ^ 2 -4 = \frac{4}{3}$

Finally we evaluate $f(1)$ As $x = 1$  then

$f (1) = - 4$