Question

PLEASR HELP!!!!

Evaluate this piecewise function at x=2 and x=4.

Answer 1

You can see the side conditions for the function. We read the x CANNOT be 4. See it?

We evaluate the bottom piece at x = 4. Let's do that.

f(x) = -2x

Let x be 4.

f(4) = -2(4)

f(4) = -8

What about the other piece?

Evaluate the top piece at x = 2.

Let's do that.

f(x) = 3x

Let x be 2.

f(2) = 3(2)

f(2) = 6

Answer: Choice D

Did you follow? It is a piecewise function. Solve it one piece at a time keeping each side condition in mind along the way.

Answer 2

Option D.

Explanation:

Consider the given piecewise function

`f(x)=\begin{cases}3x & \text{ if } x\\eq 4 \\ -2x & \text{ if } x=4 \end{cases}`

For x ≠ 4

`f(x)=3x`

For x=4,

`f(x)=-2x`

The value of function at x=2 is

`f(2)=3(2)=6`

The value of function at x=4 is

`f(x)=-2(4)=-8`

Since f(2)=6 and f(4)=-8, therefore the correct option is D.