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masha68 [24]
3 years ago
11

Thanks for the help!

Mathematics
1 answer:
NikAS [45]3 years ago
3 0

Answer:

A

Step-by-step explanation:

So we have the piecewise function:

f(x)= \begin{cases}\sqrt{2x} & \text{if }x

And we want to find f(8).

Since our input value is 8, choose the equation that fits our input.

The first equation demand x to be less than 3. 8 is not less than 3, so we won't use that.

The second equation demand x to e greater than or equal to 3 and less than 8. 8 is <em>not</em> less than 8. So, we won't use that.

The third equation demands x to be greater than or equal to 8. 8 is greater than or equal to 8, so we'll use the third equation.

So:

f(x)=42\text{ if }x\geq 8

f(8)=42

There're nothing more to do, we're done :)

The answer is A.

Edit: Improved Format

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