# TSI Math: Recognizing the Pattern of a Function

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f(x) = 3ˣ. Which of the following equations must be true?

Intermediate Algebra and Functions | Expressions, Equations, and Functions Involving Powers, Roots, and Radicals |

Mathematics and Statistics Assessment | Powers, Roots, and Radicals |

Product Type | TSI |

TSI | Mathematics and Statistics Assessment TSI Math TSI Mathematics |

TSI Math | Intermediate Algebra and Functions |

TSI Mathematics | Intermediate Algebra and Functions |

Test Prep | TSI |

### Transcript

function table Go go function powers so when x zero

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

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

x power here there were getting a geometric compounding We

see that each output is three times the previous output

right like three is three times one and nine is

three times three And so on if we define x

as one and you think of your first input as

f of one well then the output is three Working

this information into the first possible answer choice we have

f of x plus one is nine times f of

x Well then we have to see if f of

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

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

if f of two is twenty seven false right Well

using the same method plugging in the number one Wherever

we see in acts we can see that f of

x plus two es f of one plus two a

k a f of three will yield the number twenty

seven right so that be cubing things there does that

equal three times f of one will know because f

of one is three and twenty seven at least in

california does not equal three All right so then we

just lather rinse and repeat this formula right So for

the next answer choice we have f of three is

equal to twenty seven Does that equal nine times f

of one Well yes because nine times three in california

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