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WorksheetsFUNCTIONS
Total questions: 27
Worksheet time: 8mins
Name
Class
Date
1.
What is the range of the following graph?
a)
-5, -1, 0 , 1, 5
b)
-4, -2, 0, 3, 6
c)
(-4, 1) ( 6, 0)
d)
(6, 0)
2.
What is the range of the following graph?
a)
-5, -1, 0 , 1, 5
b)
-4, -2, 0, 3, 6
c)
(-4, 1) ( 6, 0)
d)
(6, 0)
3.
Which graph does NOT pass the vertical line test?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
4.
What is the y-intercept?
a)
7
b)
0
c)
1
d)
2
5.
a)
[0, ∞]
b)
[0, ∞)
c)
[-1, ∞]
d)
[-1, ∞)
6.
What is the range?
a)
-4 < x ≤ 5
b)
-4 ≤ x < 5
c)
-3 < y < 3
d)
-3 ≤ y ≤ 3
7.
Find the line that is perpendicular to f(x) = -1/3x + 8 and when evaluated, f(-2) = 6.
a)
f(x) = 3x +12
b)
f(x) = -1/3x + 12
c)
f(x) = -3x + 12
d)
f(x) = 3x + 1
8.
Find the equation of the line that is parallel to f(x) =2x + 3 and when evaluated, f(1) = 7
a)
f(x) = 2x + 9
b)
f(x) = 2x + 14
c)
f(x) = -1/2x + 5
d)
f(x) = 2x + 5
9.
Given f(x) = 2x and g(x) = x2+3 , find f(g(x)).
a)
x2+2x+3
b)
4x2+3
c)
2x2+3
d)
2x2+6
10.
Find the inverse function of f(x) = 3x - 4
a)
4x + 3
b)
3x + 4
c)
1/3x + 4/3
d)
x/3 - 4/3
11.
f(x) = 3x + 10
g(x) = x - 2
Find f(g(5))
g(x) = x - 2
Find f(g(5))
a)
19
b)
23
c)
-10
d)
None of these.
12.
f(x)=x2-1
g(x)=x-1
Find (f/g)(x)
g(x)=x-1
Find (f/g)(x)
a)
x+1
b)
x2+1
c)
x
d)
x2-1
13.
If f(x) = ∛(x), g(x) = 2x - 5, h(x) = 2x2 and j(x) = |x + 3|, which ones were composed and in what order to create the following function?
C(x) = |∛(2x - 5) + 3|
C(x) = |∛(2x - 5) + 3|
a)
g(f(x))
b)
j(g(f(x)))
c)
j(f(g(x)))
d)
g(j(f(x)))
14.
a)
5
b)
25
c)
√23
d)
31
15.
If the equation of f(x) goes through (1, 4) and (4, 6), what points does f-1(x) go through?
a)
(1, 4) and (4, 6)
b)
(-4, -1) and (-6, -4)
c)
(-1, -4) and (-4, -6)
d)
(4, 1) and (6, 4)
16.
The inverse has been reflected over which line?
a)
y = x
b)
y =1
c)
y = 0
d)
y = x + 1
17.
Describe the transformations.
a)
Translate Right 2, Down 4
b)
Translate Left 2, Down 4
c)
Translate Left 2, Up 4
d)
Translate Right 2, Up 4
18.
Describe the transformation
y = 2√x
y = 2√x
a)
Vertical Compression by 2
b)
Vertical Expansion by 2
c)
Vertical Compression by 1/2
d)
Horizontal Expansion by 2
19.
a)
6x2 - 1
b)
6x - 3
c)
5x - 1
d)
6x2 - 3x
20.
Find the domain of f(x)
a)
(-2, ∞)
b)
[-2, ∞)
c)
[-4, ∞)
d)
(-4, ∞)
21.
Find the domain of f(x).
a)
(-∞, 7) ⋃ (7, ∞)
b)
(-∞, 7] ⋃ [7, ∞)
c)
(-∞, -7) ⋃ (-7, ∞)
d)
(-∞, -7] ⋃ [-7, ∞)
22.
If f(x)=x2 + 10x + 24, find the domain.
a)
(-∞, 4)∪(6, ∞)
b)
(-∞, 6)∪(6, ∞)
c)
(-∞, 4)∪(4, ∞)
d)
(-∞, ∞)
23.
Find the domain of f(x)
a)
(-∞, 6)∪(6, ∞)
b)
(-∞, -6)∪(66, ∞)
c)
(-6, ∞)
d)
[-6, ∞)
24.
Which is the inverse for the function
a)
a.
b)
b.
c)
c.
d)
d.
25.
Find the inverse
f(x)= (x-2)5+3
f(x)= (x-2)5+3
a)
5√(x-3) +2
b)
-2+x5
c)
(x+1)5+3
d)
5√(x+2)-3
26.
Identify the Range
a)
y ≤ 6
b)
All Real Numbers
c)
x ≥ 6
d)
y ≤ 3
27.
a)
A
b)
B
c)
C
d)
D
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