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WorksheetsMatch Piecewise Function With The Correct Problem
Total questions: 25
Worksheet time: 1hrs 27mins
Name
Class
Date
1.
Pick the correct graph
a)
A
b)
B
c)
C
d)
D
2.
Which graph matches:
2/3x+3 for x≤0
3 for 0<x<2
-.5x for x2
2/3x+3 for x≤0
3 for 0<x<2
-.5x for x2
a)
A
b)
B
c)
C
d)
D
3.
What is f(-1)?
a)
6
b)
-2
c)
sqrt(2)
d)
-4
4.
What is f(-2)?
a)
4
b)
1
c)
1
d)
12
5.
What is f(6)?
a)
20
b)
33
c)
3
d)
3, -3
6.
Match the piecewise function with its graph:
f(x)= -3x-1 if x≤1
f(x) = -5 if x>1
f(x)= -3x-1 if x≤1
f(x) = -5 if x>1
a)
F
b)
B
c)
C
d)
E
7.
What value of c would make the function continuous?
a)
1
b)
2
c)
-1
d)
-3
8.
Which graph matches:
4-x for x<2
2x-6 for x≥2
4-x for x<2
2x-6 for x≥2
a)
A
b)
B
c)
C
d)
D
9.
Which graph matches:
2x+3 for x0
.5x-1 for x>0
2x+3 for x0
.5x-1 for x>0
a)
A
b)
B
c)
C
d)
D
10.
Match the piecewise function with its graph:
f(x)= 2x+3 if x≥0
f(x) = x+4 if x<0
f(x)= 2x+3 if x≥0
f(x) = x+4 if x<0
a)
A
b)
B
c)
D
d)
E
11.
Match the piecewise function with its graph:
f(x)= x+4 if x≤0
f(x) = 2x+4 if x>0
f(x)= x+4 if x≤0
f(x) = 2x+4 if x>0
a)
F
b)
B
c)
C
d)
E
12.
Match the piecewise function with its graph:
f(x)= 3x-1 if x≥-1
f(x) = -5 if x<-1
f(x)= 3x-1 if x≥-1
f(x) = -5 if x<-1
a)
A
b)
B
c)
D
d)
E
13.
Match the piecewise function with its graph:
f(x)= 3x-2 if x≤1
f(x) = x+2 if x>1
f(x)= 3x-2 if x≤1
f(x) = x+2 if x>1
a)
F
b)
B
c)
C
d)
E
14.
What would make the following function continuous?
f(x)= 3x+2 if x<4
f(x) = x-c if x≥4
f(x)= 3x+2 if x<4
f(x) = x-c if x≥4
a)
-10
b)
10
c)
14
d)
-14
15.
What would make the following function continuous?
f(x)= -x+2 if x<3
f(x) = 4x-f if x≥3
f(x)= -x+2 if x<3
f(x) = 4x-f if x≥3
a)
-13
b)
13
c)
-1
d)
1
16.
What would make the following function continuous?
f(x)= x2-2 if x<4
f(x) = 4x-f if x≥4
f(x)= x2-2 if x<4
f(x) = 4x-f if x≥4
a)
2
b)
-2
c)
1
d)
4
17.
What would make the following function continuous?
f(x)= 3x2-2 if x<5
f(x) = 10x+f if x≥5
f(x)= 3x2-2 if x<5
f(x) = 10x+f if x≥5
a)
23
b)
-23
c)
73
d)
75
18.
Evaluate f(-4)
a)
-64
b)
64
c)
16
d)
32
19.
Evaluate g(14)
a)
Undefined
b)
185
c)
17
d)
I don't know....
20.
Evaluate h(-100)
a)
-100
b)
-206
c)
Somethings with an e in it.
d)
Undefined
21.
Write the function for the graph
a)
f(x) = -5 if x≤-4
f(x)= 7 if x>-4
f(x)= 7 if x>-4
b)
f(x) = -5 if x≤-4
f(x) = -7 if x≤-4
f(x) = -7 if x≤-4
c)
f(x) = 5 if x<-4
f(x)= 7 if x≥-4
f(x)= 7 if x≥-4
d)
f(x) = -5 if x≥-4
f(x) = 7 if x<-4
f(x) = 7 if x<-4
22.
Write the function for the graph
a)
f(x) = x-1 if x<0
f(x) = -1/2x-1 if x≥0
f(x) = -1/2x-1 if x≥0
b)
f(x) = x-1 if x<0
f(x) = -1/2x-4 if x≥0
f(x) = -1/2x-4 if x≥0
c)
f(x) = x-1 if x<0
f(x) = 1/2x-1 if x≥0
f(x) = 1/2x-1 if x≥0
d)
f(x) = -x-1 if x<0
f(x) = -1/2x-1 if x≥0
f(x) = -1/2x-1 if x≥0
23.
Write the function for the graph
a)
f(x) = -x-2 if x≤-1
f(x) = 1 if -1≤x≤1
f(x) = 3x-2 if x≥1
f(x) = 1 if -1≤x≤1
f(x) = 3x-2 if x≥1
b)
f(x) = x+2 if x≤-1
f(x) = 4 if -1≤x≤1
f(x) = 3x+2 if x≥1
f(x) = 4 if -1≤x≤1
f(x) = 3x+2 if x≥1
c)
f(x) = x+2 if x≤-1
f(x) = 1 if -1≤x≤1
f(x) = 3x-2 if x≥1
f(x) = 1 if -1≤x≤1
f(x) = 3x-2 if x≥1
d)
f(x) = x+2 if x≤-1
f(x) = 1 if -1≤x≤1
f(x) = -3x+2 if x≥1
f(x) = 1 if -1≤x≤1
f(x) = -3x+2 if x≥1
24.
Write a piecewise function:
You work as a freelance writer. You make a base rate of $30 and $7.50 every hour for the first 40 hours. Then you make $10 for anything over 40 hours.
You work as a freelance writer. You make a base rate of $30 and $7.50 every hour for the first 40 hours. Then you make $10 for anything over 40 hours.
a)
f(x) = 7.50+30 if x≥40
f(x) = 10+30 if x<40
f(x) = 10+30 if x<40
b)
f(x) = 7.50x+30 if x≥40
f(x) = 10+30x if x<40
f(x) = 10+30x if x<40
c)
f(x) = 7.50x+30 if x≥40
f(x) = 10x+30 if x<40
f(x) = 10x+30 if x<40
d)
f(x) = 7.50x+30 if x≤40
f(x) = 10x+30 if x>40
f(x) = 10x+30 if x>40
25.
You are buying t-shirts you made for a fundraiser. You decided to sell them individually for $20 but if you buy 10 or more the cost will only be $8 a piece and if you buy 20 or more you pay $5 a piece.
a)
f(c)=20x if x<10
f(c)=8x if 10≤x<20
f(c)=5x if x≥20
f(c)=8x if 10≤x<20
f(c)=5x if x≥20
b)
f(c)=20x if x<10
f(c)=8x if 10≤x<20
f(c)=-5x if x≥30
f(c)=8x if 10≤x<20
f(c)=-5x if x≥30
c)
f(c)=10x if x<10
f(c)=8x if 10≤x≤20
f(c)=5x if x≥20
f(c)=8x if 10≤x≤20
f(c)=5x if x≥20
d)
f(c)=20x if x<10
f(c)=8x if 10≤x<20
f(c)=5x if x≥25
f(c)=8x if 10≤x<20
f(c)=5x if x≥25
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