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Functions / Inverses
Parent Graph / Transformation
Exponents
Domain and Range
Operations with Functions
100
Is y=(x-4)² a function?
Yes, the inputs have only one output.
100
What is the parent graph of y=6(x-4)²
y=x²
100
Simplify: 5³ ∙ 5² ∙ 6⁰
5⁵
100
What is the domain and range of f(x)=x³
D: all real R: all real
100
Given f(x)=4x-3 g(x)=5x²-10 what is f(x)+g(x)?
5x²+4x-13
200
What is an equation of a graph that is not a function?
y=±√(x)
200
What was the transformation from the parent graph of a cubic to get y=(x-4)³+6
Right 4, up 3
200
Simplify: (x³ ∙ y² ∙ z)/(x ∙ y⁴ ∙ z)
(x²)/(y²)
200
What is the domain and range of f(x)=1/(x-3)?
D: all real except x=3 R: all read except y=0
200
Given f(x)=(x-1)² g(x)=.5x+3 what is f(g(4))?
16
300
What is the inverse of f(x)=3(x-2)²+5>
f-1(x)=((x-5)/3)^(½)+2
300
What is the equation of a square root that has been shifted left 3 and down 2?
y=√(x+3)-2
300
Why is 4*2^x=8^x false?
The bases are different
300
What is the domain of f(x)=1/(x+5)+4
D: all real except x=-5
300
Given f(x)=4x²+3 what is f(f(x))?
64x⁴+96x²+39
400
What is the inverse of h(x)=3x⁴-2
h-1(x)=((x+2)/3)^(¼)
400
What is the equation of an absolute value that has been shifted right 5, down 10, and has a vertical stretch of 2?
y=2abs(x-5)-10
400
Simplify: (x ∙ y³)-²/(x² ∙ y-²)³
1/(x⁸)
400
What is the range of f(x)=3^x?
R: y>0
400
Given f(x)=x²+3 g(x)=4(x+2)-6 what is f(x) ∙ g(x)?
4x³+2x²+12x+6
500
What is the inverse of g(x)=5(3-x)³-10
g-1(x)=-(⅕x-2)^(⅓)+3
500
What is the transformation of the equation y=2^(x+4)-7?
left 4, down 7
500
Simplify? 6² ∙ 36³ ∙ 216
6⁸
500
What is the domain and range of f(x)=√(x)+3?
D: x≥0 R: y≥3
500
Given f(x)=x²+5 g(x)=2(x-8) h(x)=(x+1)² what is f+g-h?
5x-17