Function Operations
Domain and Range
Inverse
Symmetry
Random
100
What is (f*g)(1) when f(x) = x - 1 and g(x) = 9x?
f(1) = 0 and g(1) = 9 so (f*g)(1) = 0
100
What is the domain of y = 2x - 1 in interval notation?
(-inf, inf)
100
Are f(x) = x - 2 and g(x) = x + 2 inverses?
Yes.
100
What types of symmetry does y = x^2 + 1 have?
y axis symmetry.
100
Mary measures the temperature of her turkey every fifteen minutes to see if it is completely cooked. Is the temperature a function of the time?
Yes
200
What is f(g(5)) when f(x) = 7x + 1 and g(x) = x^2 + x?
g(5) = 30 so f(g(5)) = f(30) = 211
200
What is the range of y = x^2 + 1 in interval notation?
[1, inf)
200
What is the inverse of g(x) = x^2 - 1
g^-1 (x) = x + 1
200
What types of symmetry does y^2 + x^2 = 9 have?
x, y, and origin
200
If a function is odd, it has ____ symmetry.
origin
300
What is (f o g)(x) when f(x) = x^2 and g(x) = x^2 - 9
(f o g)(x) = x^4 - 18x^2 + 81
300
What is the domain of f(x) = 1/x in interval notation?
D: (-inf, 0)U(0, inf)
300
Are f(x) = 4x + 8 and g(x) = x/4 -2 inverses?
Yes
300
Is the following function even, odd, or neither? f(x) = x^3
odd
300
How do you test for y-axis symmetry?
Substitute a -x for all x's and see if the result is equivalent to the original relation.
400
What is f o (g o h)(x) for f(x) = x - 2, g(x) = 4x and h(x) = x^2 - 7x?
(g o h) = 4x^2 - 28x so f o (g o h)(x) = f(4x^2 - 28x) = 4x^2 - 28x - 2
400
What is the domain of the square root of the quantity x minus 2 in interval notation?
[2, infinity)
400
Is f(x) = 9x -1 and g(x) = 1/9x + 9 inverse functions?
No.
400
Is the following function even, odd, or neither? y = x + 1
neither
400
What type of symmetry do you not have to test for if the original relation is a function?
x-axis symmetry
500
What is (f + g)(x + 1) when f(x) = x - 7 and g(x) = 9x - 2
f(x + 1) = x - 6 and g(x+1) = 9x + 7 so (f+g)(x+1) = 10x + 1.
500
What is the range of the negative absolute value of the quantity x plus 2 in interval notation?
(-inf, 0]
500
Will y = x^2 - 7x + 2 have an inverse function?
No
500
Is the following function even, odd, or neither? y = |x| - 17
even
500
What is the inverse of {(3, 2), (-7, 1), (-1, 0)}?
{(2, 3), (1, -7), (0, -1)}
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