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Cloud [144]
4 years ago
9

PLEASR HELP!!!! Evaluate this piecewise function at x=2 and x=4.

Mathematics
2 answers:
a_sh-v [17]4 years ago
7 0

Answer:

Option D.

Step-by-step explanation:

Consider the given piecewise function

f(x)=\begin{cases}3x & \text{ if } x\neq 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.

JulijaS [17]4 years ago
4 0

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.

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