Functions: Domain, Range, Composition
Functions: Inverses
Functions: Transformations
Exponents
Logarithms
100
State the domain and range of the function xˆ2
What is all real numbers
100
Given 4 points of a function (1,3) (2,5) (3,7) (4,9) what are 4 points of the functions inverse
(3,1) (5,2) (7,3) (9,4)
100
Transform the function x by a vertical shift down of 1
What is x-1
100
aˆ2 ∗ aˆ5
What is aˆ7
100
Write 1000, 100, and .01
What is 10ˆ3, 10ˆ2, 10ˆ-2
200
State the domain and range of the function 1/x
Domain= All real numbers except 0. Range= all real numbers except 0
200
A function must be ___-to-___ to have an inverse
What is One to One
200
Given the function g(x+3) what have been all transformations done on the original equation g(x)
Horizontal shift of three to the left
200
aˆ5/aˆ3
What is aˆ2
200
Write 1000, 100, and 0.01 in log form if the base is 10
What is Log(10,1000) Log(10,100) Log(10,.01)
300
Write the equation of a function with zeroes 2 and -3
What is y=(x-2)(x+3)
300
If you look at a function and its inverse on a graph what line should be drawn? (what line is the inverse reflected over)
What is the linear function (x)
300
Transform the function y=g(x) by a horizontal stretch of 5 and a vertical shift down of 2
What is y=g(1/5x)-2
300
Write a recursive formula for the sequence 4,16,64,256
What is An-1 ∗ 4
300
Write Log(3,30) as a sum of two other logarithms
What is Log(3,2) + Log(3,15) = Log(3,30). NOT the only answer
400
Let f(x)=2x-1 and g(x)=2ˆx what is g(f(0))
What is 1/2
400
What is the inverse of the function 2∗(X+3) using pure thought
What is (X-3)/2
400
Transform the function 6ˆx by a vertical stretch of 2 and a horizontal stretch of 3
What is 2∗6ˆ1/3x
400
Using your calculator find a and b in the equation abˆx when f(5)=7 and f(6)=10 round to the nearest thousandth
a=1.176 b=1.429
400
Simplify the following log(5,25) log(6,1/6)
What is 25 and 1/6
500
In interval notation state the domain and range of xˆ2
Domain= (∞,∞) Range= [0,∞]
500
Find the inverse of the function X+1/X-1 algebraically
What is 1+x/x-1
500
Transform the equation 2ˆx By a horizontal shift of 4 to the right, a vertical stretch of 7, and a horizontal squeeze of 4.
What is 7∗2ˆ4x-4
500
Given 7ˆ1.392 = 15 and 7ˆ.565 = 3 find x when 7ˆx = 45
x=1.957 7ˆ1.957=45
500
32ˆx=51 what is x (Use log form)
What is 1.13 (Use the equation Log(b,x)=Log(k,x)/Log(k,b))
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