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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?
ACT Math Intermediate Algebra Drill 1, Problem 5. Can you simplify the expression?
ACT Math Intermediate Algebra Drill 2, Problem 1. Solve the equation.
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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