Pleasr
evaluate this piecewise function at x=2 and x=4.

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

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.

Option D.

Step-by-step explanation:

Consider the given piecewise function

For x ≠ 4

For x=4,

The value of function at x=2 is

The value of function at x=4 is

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

step-by-step explanation: