Logarithms
Exponents
Functions: inverses!
Functions: transformations!
Functions: domain + range, composition!
100
In the equation f(x) = log(10,375). The number "10" can be described as the ____.
What is the base.
100
4^3 is equal to _____.
What is 64?
100
f(x) = 2x is the inverse of _____.
What is f(x) = .5x
100
In the equation f(x) = 2x-3, the -3 moves the graph _____.
What is down three.
100
The domain of f(x) = x^3 is ______.
What is all real numbers.
200
Log(1,X) will always equal X, whereas Log(X,1) will always equal _____.
What is zero.
200
When using negative exponents, in this case a^-b, you would put 1 over ____ as the answer.
What is a^b.
200
To find the inverse of an equation you ______.
What is switch the x and y and solve for y.
200
Start with a graph of f(x) = 2x. The translations of f(x) = 2x-8 and 2(x-8) differ in that ______.
What is one moves the graph down eight and one moves the graph right eight.
200
f(x) =2x and r(x) = x-23. r(f(x)) thus must be _____.
What is 2x-23.
300
As we know that 10^a=b, we can write this using logs ______.
What is a=log(b).
300
The answer to 27^1/3 is _____ in hexadecimal: a) 6A b) 3 c) 9 d) Capital of Uruguay
What is b.
300
An inverse is reflected over the equation ______.
What is f(x) = x.
300
In the equation f(x) = 2((1/3)x -3), the number "1/3" will _____ the x values.
What is stretch?
300
f(x) = 2x-6. Thus f(f(x)) simplified is ____.
What is 4x-18.
400
A simple equation using log(7), log(3), and log(21) is ____.
What is log(7) + log(3) = log(21).
400
The answer to (x^3 * x^5 / x^2) + x^2 is _____.
What is x^6+x^2.
400
In order for a function to have an inverse it must pass both the ____ line test and the ____ line test.
What is horizontal and vertical.
400
The following graphs are all ______. y=x, y=x^3, and y=.3^x.
What is one-to-one.
400
Given the equation f(x) = x with x greater than zero and less than 6. If you added a two to the function so it would look like this: f(x) = 2x, then the range would be _____.
What is y greater than 0 and less than 12.
500
Given that log(r,5) = 1.465 and log(r,20) = 2.727. log(r,4) = _____.
What is 1.263?
500
The answer to 4^5*16^3 is 4^______.
What is 4^11.
500
In hexadecimal, the inverse of f(x) = 3x^5-2B-3x
What is I can't believe you asked me that.
500
To find an inverse of a function, the function must be one-to-one. Two parent functions that are not one-to-one are _____.
What are absolute value and quadratic.
500
The domain and range of f(x) = (3/(x-2))^3 is ______.
What is d=all real numbers, r = all real numbers except 0.
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