Functions: Domain, Range, Composition
Functions: inverse
Functions: Transformations
Exponents
Logarithms
100
g(h(x))=(3x-2)^2+9
What is g(x)=x^2+9 and h(x)=3x-2
100
y=(x^2/4)+1
What is the inverse of y=2(x-1)^1/2
100
f(x)=3^(5x)
What is f(x)=3^x squeezed horizontally by 5?
100
x^a+b
What is x^a*x^b
100
log(b5)(x125)=3
What is log of 5^3=125
200
domain: [negative infinity, infinity] range: (0,infinity) Asymptotes: x=0
What is the function y=2^x domain and range?
200
y=(x+4)/2
What is the inverse of y=2x-4
200
f(x)=4x^2-10
What is f(x)=x^2 squeezed horizontally by 4 and down 10?
200
X^ab
What is (x^a)^b
200
log(b9)(x3)=1/2
What is the log of 9^(1/2)=3
300
f(g(x))=((x+2)/4)^1/2
What is f(x)=(x)^1/2 and g(x)= (x+2)/4
300
y=(x^3+8)/20
What is the inverse of y=(20x-8)^1/3
300
f(x)=((x+16)/6)^1/2
What is what is f(x)=x^1/2 stretched horizontally by 6 and up 16?
300
(x^a)/(x^b)
What is X^a-b
300
27^(1/2)=3
What is log(b27)(x3)=1/2
400
g(f(x))=4(x-10)^2
What is f(x)=x-10 and g(x)=4x^2
400
y=(5x+7)^1/2
What is the inverse of y=(x^2-7)/5
400
f(x)=(x+10)^3*4
What is f(x)=x^3 shifted left 10 and stretched vertically by 4?
400
x^1/a
What is the exponential square root of X
400
10^(-2)=1/100
What is log(b10)(x1/100)=-2
500
domain: [0, infinity] range: [negative infinity, infinity]
What is What is domain and range of y=(x)^1/2
500
The cube root function stretches over the x-axis infinitely
What is the description of the inverse cube root function?
500
f(x)=((x/8)-13)^2*9
What is f(x)=x^2 shifted right 13, horizontally stretched by 8 and vertically stretched by 9?
500
1/x^b
What is x^-b
500
(log(15))/(log(5))=1.685
What is x of log(b5)(x15)=x
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