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SAT Math 1.5 Algebra and Functions. If f (x) = x2 - 16 and g(x) = x4 - 256, what is f of x divided by g of x?
SAT Math 6.1 Algebra and Functions 197 Views
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Description:
SAT Math 6.1 Algebra and Functions
- Algebra and Functions / Solving Quadratic Equations by Factoring
- Product Type / SAT Math
- Algebra / Create equations that describe numbers or relationships
- Algebra / Create equations that describe numbers or relationships
- Functions / Interpret functions that arise in applications
- Functions / Interpret functions that arise in applications
- Functions / Construct and compare linear, quadratic and exponential models
- Functions / Construct and compare linear, quadratic, and exponential models
- Functions / Interpret expressions for functions in terms of the situation they model
- Functions / Interpret expressions for functions in terms of the situation they model
- Algebra / Create equations that describe numbers or relationships
- Functions / Interpret functions that arise in applications in terms of context
- Functions / Construct and compare linear, quadratic, and exponential models
- Algebra / Create equations that describe numbers or relationships
- Algebra / Create equations that describe numbers or relationships
- Functions / Interpret functions that arise in applications
- Functions / Interpret functions that arise in applications
- Functions / Construct and compare linear, quadratic, and exponential models
- Passport to Advanced Math / Quadratic and exponential functions (word problems)
Transcript
- 00:02
Put this in your calculator and shmoop it...
- 00:05
Which function fits the chart?
- 00:08
And here are the potential answers...
- 00:13
To solve this problem, we basically just have to see which of the functions give outputs
- 00:16
that match the inputs.
Full Transcript
- 00:19
We'll start with our first x value, -4.
- 00:21
If we plug -4 into our mystery function, we should get 33 as our answer.
- 00:26
Answer choice A is the function -4x + 1.
- 00:30
If we plug in -4, we'll get f of x is equal to 17.
- 00:36
Onto B.
- 00:37
B says that f of x is equal to 2x squared + 1.
- 00:41
If we plug in -4... and that gets us 33.
- 00:46
And that's what we're looking for.
- 00:48
C tells us that f of x is equal to 2x + 1.
- 00:51
Plugging in -4, we get -8 +1, that's -7.
- 00:55
Doesn't help us. Bye!
- 00:56
How about D?
- 00:57
f of x is equal to 4x squared + 1.
- 01:00
Plugging in -4, we get -4 times -4 is 16 times 4... that's 64 +1 is 65, which is too big.
- 01:09
So D is out.
- 01:10
Final chance: (E).
- 01:12
f of x is equal to -4x squared + 1.
- 01:15
If we plug in -4, -4 times -4 is 16 times -4... that's -64 +1 is -63.
- 01:26
Which is... not 33.
- 01:28
The only function that gave us the proper output when we plugged in -4 was (B).
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