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Worksheets

Functions

Total questions: 20

Worksheet time: 32mins

Name
Class
Date
1.
Which of the following is NOT a function?
a)
(1, 1) (2, 2)
(3, 3) (4, 4)
b)
(4, 5) (1, 5)
(3, 8) (4, 6)
c)
(10, 2) (-10, 2)
(6, 4) (5, 3)
d)
(6, 1) (5, 1)
(4, 1) (3, 1)
2.
What is the domain for the function f(x) = 2x3 ?
a)
x ≥ 0
b)
{-1, 0, 1}
c)
all real numbers ℝ
d)
no numbers
3.
Let f(x) = x - 4  and
g(x) = x2 - 16.
What is g(x) - f(x)?
a)
x2 - x - 12
b)
x - 20
c)
x2 - x - 20
d)
-12
4.
Find the inverse of f(x) = 3x + 7
a)
x/3 + 7/3
b)
3x - 7/3
c)
1/3x - 7/3
d)
x + 7/3
5.
What is the range for the function f(x) = 2x3 ?
a)
x ≥ 0
b)
{-1, 0, 1}
c)
all real numbers ℝ
d)
no numbers
6.
The _________ of a function y = x2 is y ≥ 0.
a)
Domain
b)
Range
7.
Find f(-2) for f(x) = 3/8x - 3
a)
-2.25
b)
3.75
c)
-3.75
d)
2.25
8.
What is the domain for the function f(x) = 1/x ?
a)
x ≥ 0
b)
{-1, 0, 1}
c)
all real numbers ℝ
d)
ℝ, x ≠ 0
9.
Let g(x) = 5x - 2 and
h(x) = x2 + 1.
Find (h ∘ g)(0).
a)
-5
b)
3
c)
-3
d)
5
10.
What are the intercepts for the function
f(x) = 1/x ?
a)
(1, 0) and (0, 1)
b)
(0, 0)
c)
There are no intercepts for this function.
d)
(-∞, ∞)
11.
Find the inverse for f(x) = √(x-9)
a)
x = √(y-9)
b)
y = x + 9
c)
y = x2 + 9
d)
y = x - 9
12.
A line that a graph approaches, but does not touch is called a _____________.
a)
symmetry
b)
intercept
c)
axis
d)
asymptote
13.
The function 4y - x = -20 has a ____________ of -5.
a)
x-intercept
b)
y-intercept
14.
Which of the following is a function?
a)
(5, 0) (5, 2) (2, 0)
b)
(4, -2) (3, 0) (4, 2)
c)
(1, 0) (2, -1) (3, -1)
d)
(2, -2) (6, -2) (6, 2)
15.
When each element in the domain is paired up with one and only element in the range, the is called a ____________.
a)
relation
b)
function
c)
intercept
d)
asymptote
16.
What is the main step in finding the inverse of a function?
a)
addition
b)
switching the x & y
c)
solving for x
d)
plugging in a number
17.
What is the minimum of a function?
a)
the highest y-value
b)
the first value
c)
the lowest y-value
d)
the negative value
18.
What is the maximum of y = x2 ?
a)
10
b)
(0, 0)
c)
∞
d)
y = 100
19.
Between the interval [2, 23], what is the minimum of y = x3 ?
a)
(2, 8)
b)
(23, 12167)
c)
-∞
d)
(0, 0)
20.
When is the test for unit 1?
a)
Today
b)
Tomorrow
c)
Yesterday
d)
We have a test???