Show:
Functions: Domain, Range, and Composition
Functions: Inverses
Functions: Transformations
Exponents
Logarithms
100
The domain of the function x^2-2 is equal to what
What is all real numbers
100
The inverse of a function is graphed over what line
What is the line y=x
100
Given the parent function x^2, what would your new function be if you moved the function to the right by 3 and down by 2
What is (x-3)^2 -2
100
The rule a^1= 1/a can be justified by re-writing the equation in the following form
What is a^-1 * a^1 = a^-1+1 = a^0 = 1
100
When written log5, we can assume that this number is used as the base.
What is 10
200
The range of the function x^3=7 is equal to what
What is all real numbers
200
If f(x)=3x, what is f^-1(x)
What is x/3
200
Given the function 3x-7, describe the transformations performed on the parent function in words.
What is the parent function is stretched vertically by three and moved to the right 7
200
(3p^3 q^4)^2 an be simplified to what equation
What is 9p^6 q^8
200
The equation 2=log(3,9) can be written as this equation
What is 3^2 =9
300
When given the functions f(x)=x^2 and g(x)=x+4, what is f(g(3))
What is 49
300
If f(x)=2x^3, what is f^-1(x)
What is the cube root of x divided by two
300
Given (x+4)^3 +8 describe the transformation on the parent function in words
What is the parent function is moved to the left 4 and up 8
300
What rule justifies that 6^1/2 * 6^1/2 = 6^1
What is a^n * a^m = a^n+m
300
If you were to rewrite the equation log(5,25) =2, you would have written this equation
What is 5^2=25
400
When given the functions f(x)= 17x -3 and g(x)=2x-8, what is g(f(4))
What is 122
400
f^-1(x)= 1/3x^2 is the inverse of what function
What is f(x)=the square root of x multiplied by 3
400
The function x^2 is moved up 6, to the left 5, squeezed vertically by 3 and stretched horizontally by 2, giving you this new equation
What is 1/3(1/2x+5)^2 +6
400
The equation 4^x-1 = 8^1/2x-3 when simplified gives you what answer for x
What is x= -11
400
Log(9) + log(2) = the log of what number
What is 18
500
The domain and range of 2(x-1)^2 is equal to what equations
What is range= all real numbers greater than or equal to 0, and domain = all real numbers
500
Given that the points (0,3) (6,9) and (12,17) lie on the graph f(x), what are three points on the graph of F^-1(x)
What is (3,0), (9,6), and (17,12)
500
Describe the transformations performed on the following equation: 1/6(4x-7)^3 +3
What is the parent function is squeezed vertically by 6, squeezed horizontally by 4, moved to the right 7 and up 3
500
The equation 3^2015 -3^2014- 3^3012 -3^2012 = 16(3^x) can be simplified so that x equals this number
What is x=2012
500
To change the base of a logarithm, you use this formula
What is log(b,x) = log(k,b)/ log(k,x)