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WorksheetsMT F4- Function
Total questions: 20
Worksheet time: 2hrs 54mins
Name
Class
Date
1.
For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.
a)
D: {1, -3, -4,}
R: {0, 1, 2, -4}
R: {0, 1, 2, -4}
b)
D:{0, 1, 2, -4}
R:{1, -3, -4}
R:{1, -3, -4}
c)
D:{0, 1, 2, 3, 4}
R:{1, -3, -4}
R:{1, -3, -4}
2.
A relation where every input in matches with exactly one output is called what?
a)
Relation
b)
Linear
c)
Exponential
d)
Function
3.
All of the x values or inputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
4.
Is this a function? Explain.
a)
Yes; it passes the horizontal line test.
b)
No; it is not a straight line.
c)
Yes; it passes the vertical line test.
d)
No; there is a line connecting the dots.
5.
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)
6.
What is the range of the following relation:
(9, -2) (4, 3) ( 8, 10) ( -4, 8)
(9, -2) (4, 3) ( 8, 10) ( -4, 8)
a)
-4, 4, 8, 9
b)
-2, 3, 8, 10
c)
(9, -2) ( 4, 3)
d)
(8, 10) (-4, 8)
7.
Identify the domain of the following relation:
a)
-6, 14, 2, 28
b)
(-6,14), (0,32), (2,38), (4,44)
c)
-6, 0, 2, 4
d)
14, 32, 38, 44
8.
Given f(x) = x+3, find f(-2).
a)
-1
b)
1
c)
5
d)
-5
9.
Given
f(x) = 2x2 + 5x - 17,
find f(-1).
f(x) = 2x2 + 5x - 17,
find f(-1).
a)
f(-1) = -20
b)
f(-1) = -24
10.
Given f(x)=2x+25, find f(5).
a)
f(5) = 60
b)
f(5) = 40
c)
f(5) = -15
d)
f(5) = 35
11.
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
12.
Given f(x)= -3x+7 and g(x)=2x2 - 8, find f(g(x)).
a)
f(g(x))= -6x2+31
b)
f(g(x))= -6x2+24
c)
f(g(x))=18x2-84x+6
d)
f(g(x))=9x2-42x-1
13.
Given f(x)= -3x+7 and g(x)=2x2 - 8, find g(f(x)).
a)
g(f(x))= -6x2+31
b)
g(f(x))= -6x2+24
c)
g(f(x))=18x2-84x+90
d)
g(f(x))=9x2-42x-41
14.
Given h(x)=x2+1, find -3h(x).
a)
-3h(x)= -3x2-3
b)
-3h(x)=3x2-3
c)
-3h(x)= -8
d)
-3h(x)=10
15.
Given h(x)=x2+1, find 5h(x).
a)
5h(x)=5x2+5
b)
5h(x)=5x2+1
c)
5h(x)=26
d)
5h(x)=20
16.
Given g(x)= -3x and f(x)=x2+2, find g(f(x)).
a)
g(f(x))= -3x2-6
b)
g(f(x))= -3x2+2
c)
g(f(x))=9x2+2
d)
g(f(x))= -9x2+2
20.
Which expression represents g(f(x)) if f(x) = 2x - 8
and
g(x) = 4x
and
g(x) = 4x
a)
8x - 32
b)
8x2 - 32x
c)
8x - 8
d)
6x - 8
18.
f(x) = 3x + 10
g(x) = x - 2
Find g(f(-10))
g(x) = x - 2
Find g(f(-10))
a)
-42
b)
-26
c)
-18
d)
None of these.
19.
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
20.
Which expression represents g(f(x)) if f(x) = 2x - 8
and
g(x) = 4x
and
g(x) = 4x
a)
8x - 32
b)
8x2 - 32x
c)
8x - 8
d)
6x - 8
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