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Intermediate Algebra and Functions Videos 36 videos

TSI Math: Understanding Points of Intersection
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Two parabolas are graphed in the coordinate plane. Parabola A is a function, and parabola B is not a function. What is the maximum number of points...

TSI Math: Solving a Quadratic Equation for x
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What is x for the equation 2x² + 36 = -18x?

TSI Math: Finding a Line's x-Intercept Given a Point on that Line
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Which of the following points is a location where the function f(x) = -2x² + 12x + 54 crosses the horizontal axis?

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TSI Math: Recognizing the Pattern of a Function 29 Views


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Description:

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


Transcript

00:03

Okay sy mash bumpers Four of five in this section

00:06

here Just get right to it F of x equals

00:09

three to the x Which of the following equations must

00:12

be true Well to get a sense of the pattern

00:19

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

00:21

function table Go go function powers so when x zero

00:25

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

00:28

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

00:30

x power here there were getting a geometric compounding We

00:33

see that each output is three times the previous output

00:37

right like three is three times one and nine is

00:40

three times three And so on if we define x

00:43

as one and you think of your first input as

00:45

f of one well then the output is three Working

00:48

this information into the first possible answer choice we have

00:51

f of x plus one is nine times f of

00:53

x Well then we have to see if f of

00:55

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

00:58

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

01:01

if f of two is twenty seven false right Well

01:04

using the same method plugging in the number one Wherever

01:08

we see in acts we can see that f of

01:10

x plus two es f of one plus two a

01:14

k a f of three will yield the number twenty

01:17

seven right so that be cubing things there does that

01:21

equal three times f of one will know because f

01:25

of one is three and twenty seven at least in

01:28

california does not equal three All right so then we

01:31

just lather rinse and repeat this formula right So for

01:34

the next answer choice we have f of three is

01:36

equal to twenty seven Does that equal nine times f

01:40

of one Well yes because nine times three in california

01:44

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

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