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Functions: Domain, Range, Composition
Functions: Inverses
Functions: Transformations
Exponents
Logarithms
100
D: (0,∞) R: (0,∞)
What is the domain and range of y=x^(1/2)
100
f(x)^-1
What is the inverse function of f(x)
100
f(x)=x-2
Write the equation for a function x, shifted down 2
100
(x^5)
What is (x^2)+(x^3)
100
5
What is log10,000
200
D: All real numbers R: All real numbers
Write the domain and range of the equation, f(x)=(x-5)+3.5
200
f(x)=x^2
Write the inverse equation of f(x)=x^1/2
200
f(x)=(x+5)-3
Write the equation for the function x, shifted left 5, down 3
200
x^5
Simplify, (x^3)/(x^-2)
200
log3(81)=4
Write 3^4=81 in terms of log
300
Domain: All real numbers Range: 1
Write the domain and range for the function f(x)=a•b^x for when b=1
300
-5, -7, -2, -3, -1
Write the inverses for the numbers in table of 5 7 2 3 1
300
f(x)=(x^1/2-11)-3
Write the equation for the square root function shifted down by 3, to the right by 11
300
(x^4.23)(y^2)
Simplify, (x^3)(x^4.23)(y^11)/(x^3)(y^9)
300
40
What is log10000000000000000000000000000000000000000
400
R: (-∞,0)
Write the range of the equation f(x)=a•b^x for when b=1.36 and a=-6.81
400
x= absolute value of y
Write the inverse equation for y=absolute value of x
400
f(x)=(3x+8)-4
Write the equation for the function x stretched vertically by 3, shifted left by 8, and moved down by 4
400
48.5
Find, f(g(x)) f(x)=3x+14 g(x)=81^1/2 + x x=2.5
400
log 5 (40)=2.292
Solve log 5 (40) = y
500
D: (0,∞) R: (1.1,∞)
Write the domain and range of the function, f(x)=(x^1/2.3+2.2)-3.3
500
Because both the compositions produce x, the functions f and g are inverses of each other.
Prove that f(x) = x + 7 and g(x) = x – 7 are inverses.
500
f(x)=(4.21x^1/2 - 6.11) + 32.99
Write the equation for the square root equation, vertically stretched by 4.21, shifted right 6.11, and moved up 32.99
500
(x^1/3)(y^7.6)/(z^42)
Simplify: (x^1/3)(x^4)(y^7.6)/(x^4)(z^43)
500
x = 4
Solve, 5^x=625