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

`f (-2) =-(8)/(3)`

`f (4) =(4)/(3)`

`f (1) = - 4`

Explanation:

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

To evaluate the piecewise function observe the condition.

`f (x) = (1)/(3)x ^ 2 -4` when
`x \\eq 1`

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

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

`f (-2) = (1)/(3)(-2) ^ 2 -4 = -(8)/(3)`

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

`f (4) = (1)/(3)(4) ^ 2 -4 = (4)/(3)`

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

`f (1) = - 4`