Evaluation and Function Operations
Domain and Range
Inverse
Identifying and Graphing Functions
Random
100
Evaluate f(x) = x - 7 for x = -3
f(-3) = -10
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
Is y^2 + x^2 = 16 a function?
No (graph is a circle).
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 - 1
g^-1 (x) = x + 1
200
What is the slope of the following linear function? y = -2/3x + 7
m = -2/3
200
Are all relations functions or all functions relations?
All functions are relations.
300
Function g can be described as the absolute value of two less than a number. What is g(1)
g(1) = 1
300
What is the domain of the following function: {(1, 3), (2, -1), (0, 4), (8, 0), (-9, 1)}
D: {-9, 0, 1, 2, 8}
300
What is the inverse of f(x) = 3x - 1?
f^-1 (x) = (x+1)/3
300
What shape will the graph of y = x^2 - 2 be?
A parabola.
300
A relation always maps 2 to 3 and -1 to 7. It also maps 1 to both 9 and 14. Is the relation a function?
No.
400
Evaluate h(x) = 2x - 4 + x^2 for x = 5.
h(5) = 31
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 y^3 - 1 + 2x^2 = 17x a function?
Yes.
400
What variable are you concerned with if you need to find the range?
Y or the dependent variable.
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
What is the inverse of the square root of the quantity x-2?
x^2 + 2
500
What is the y-intercept of 2x - 3y = 9?
b = -3
500
What is the inverse of {(3, 2), (-7, 1), (-1, 0)}?
{(2, 3), (1, -7), (0, -1)}
M
e
n
u