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WorksheetsPiecewise Functions
Total questions: 31
Worksheet time: 2hrs 41mins
Name
Class
Date
1.
What is f when x equals 4?
a)
-5
b)
0
c)
3
d)
6
2.
Which piecewise function corresponds to this graph? (Take your time)
a)
f(x) = { x if x < 4; -x+1 if x ≥ 4
b)
f(x) = { x if x ≤ 4; -x+1 if x > 4
c)
f(x) = { -x+1 if x < 4; x if x ≥ 4
d)
f(x) = { -x+1 if x ≤ 4; x if x > 4
3.
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
4.
A piecewise function (f(x)) is shown in the graph. What is f when x equals 0?
a)
-4
b)
0
c)
1
d)
Does not exist
5.
A piecewise function (f(x)) is shown in the graph. What is f when x equals 2?
a)
0
b)
3
c)
4
d)
Does not exist
6.
What is g(7) if:
a)
-17
b)
-13
c)
13
d)
17
7.
What is m(-3) if:
a)
-3
b)
0.5
c)
3
d)
-3.5
8.
Using the pictured graph, what is f(-3)?
a)
-3
b)
-1
c)
1
d)
3
9.
On the graph, which portion of the piecewise function is represented in green?
a)
x
b)
0.5x + 2.5
c)
-1
d)
0.5x + 2
10.
1. What is this type of function called?
a)
Discrete Function
b)
Segment Function
c)
Step Function
d)
Jump Function
11.
What is f(-4)?
a)
-4
b)
2
c)
-2
d)
4
12.
What is the equation of the RED piece (one on the RIGHT)?
a)
x - 1 if x > 3
b)
3 if x ≥ 3
c)
-1 if x ≥ 3
d)
-1 if x > 3
13.
What is f(2)?
a)
0
b)
-5
c)
-2
d)
1
14.
What is f(0)?
a)
0
b)
-2
c)
3
d)
+∞
15.
How do you evaluate a piecewise function for a specific value?
a)
Decide which function should be used by determining which interval contains the specific value of x.
b)
Use the first function in the piecewise function for x-values below 0; use the second function for x-values greater than or equal to 0.
c)
The piecewise function will be undefined for certain values of x.
d)
It is not always possible to determine which part of the piecewise function to use to evaluate the function for a specific value.
16.
Which of the following best describes a step function?
a)
A step function has many steps which are required for solving the function.
b)
A step function is not actually a function because it does not pass the vertical line test at all points.
c)
A step function is a piecewise function that is constant over each interval of the domain.
d)
A step function has many horizontal and vertical lines which contribute to the function as a whole.
17.
Functions that are made up of distinct "pieces" of other functions based on different rules for the domain are called?
a)
Absolute Value Functions
b)
Piecewise Functions
c)
Exponential Functions
d)
Quadratic Functions
18.
The piecewise-defined function f(x) is shown.
f(x)=x+2, x≤0
f(x)=4x, x>0
What is f(−3)?
f(x)=x+2, x≤0
f(x)=4x, x>0
What is f(−3)?
a)
12
b)
5
c)
-1
d)
-12
19.
This piecewise function is a combination of at least how many functions?
a)
0
b)
1
c)
2
d)
3
20.
Which of the 3 piecewise equations is depicted by the graph? (Take your time)
a)
f(x)
b)
g(x)
c)
h(x)
21.
What is g(4) if:
a)
-17
b)
-13
c)
13
d)
-5
22.
A piecewise function (f(x)) is shown in the graph. What is f when x equals -4?
a)
-4
b)
-2
c)
0
d)
Does not exist
23.
What is m(-3) if:
a)
-3
b)
0.5
c)
3
d)
-3.5
24.
What is m(4) if:
a)
-3
b)
0.5
c)
0
d)
-3.5
25.
Which graph matches:
2x+3 for x ≤ 0
.5x-1 for x > 0
2x+3 for x ≤ 0
.5x-1 for x > 0
a)
A
b)
B
c)
C
d)
D
26.
a)
(1/3)x +2 if {x<-3}
x2 - 4 if {-3≤x<1}
√x if {x≥1}
x2 - 4 if {-3≤x<1}
√x if {x≥1}
b)
(1/3)x +3 if {x<-4}
x2 - 4 if {-4≤x<4}
√x if {x≥0}
x2 - 4 if {-4≤x<4}
√x if {x≥0}
c)
(1/3)x +2 if {x<-3}
x2 - 4 if {-3≤x<1}
x2 - 4 if {-3≤x<1}
d)
(2/3)x +2 if {x<-5}
x2 - 4 if {-3≤x<1}
√x if {x≥1}
x2 - 4 if {-3≤x<1}
√x if {x≥1}
27.
What is f(2)?
a)
0
b)
1
c)
2
d)
-1
28.
Portions of a piecewise function
a)
may be connected
b)
cannot be connected
c)
may be connected or may not be connected
29.
Is the following a function?
a)
yes
b)
no
30.
According to this graph, what is the function value when x = 4 ?
a)
-3
b)
4
c)
0
d)
-2
31.
According to this graph, what is the function value when x = 3.99 ?
a)
About -3
b)
About 4
c)
About 0
d)
About -2
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