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Okay sy mash bumpers Four of five in this section

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here Just get right to it F of x equals

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three to the x Which of the following equations must

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be true Well to get a sense of the pattern

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produced by f of x here let's make a quick

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function table Go go function powers so when x zero

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fx's one when x is one fx is three and

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then two is nine and three that's clearly to the

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x power here there were getting a geometric compounding We

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see that each output is three times the previous output

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right like three is three times one and nine is

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three times three And so on if we define x

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as one and you think of your first input as

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f of one well then the output is three Working

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this information into the first possible answer choice we have

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f of x plus one is nine times f of

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x Well then we have to see if f of

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x plus one is nine times three right Since we're

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defining Acts as 1 while then we're looking to see

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if f of two is twenty seven false right Well

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using the same method plugging in the number one Wherever

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we see in acts we can see that f of

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x plus two es f of one plus two a

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k a f of three will yield the number twenty

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seven right so that be cubing things there does that

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equal three times f of one will know because f

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of one is three and twenty seven at least in

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california does not equal three All right so then we

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just lather rinse and repeat this formula right So for

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the next answer choice we have f of three is

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equal to twenty seven Does that equal nine times f

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of one Well yes because nine times three in california

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is in fact twenty seven The answer here Yeah it's 00:01:47.188 --> [endTime] see this thing

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