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The function P(x)=2x+1 is dilated by the function I(x)=1/2P(x). Which function rule represents I(x)?

Sagot :

We will see that we can write the function I(x) as:

I(x) = x + 1/2.

How to get the function I(x)?

We know that I(x) is a vertical dilation of scale factor 1/2 of P(x), where:

P(x) = 2x + 1.

The vertical dilation will be written as:

I(x) = (1/2)*P(x).

If we replace P(x) by the actual function, we will get:

I(x) = (1/2)*(2x + 1) = x + 1/2.

Then we can conclude that the function I(x) is:

I(x) = x + 1/2.

If you want to learn more about dilations:

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