Graph each function. Identify the domain and
range.
1.
ANSWER:
D = {all real numbers};
Write the piecewise-defined function shown in
each graph.
3.
ANSWER:
5.CCSS REASONING Springfield High School’s
theater can hold 250 students. The drama club is
performing a play in the theater. Draw a graph of a
step function that shows the relationship between the
number of tickets sold x and the minimum number of
performances y that the drama club must do.
ANSWER:
Graph each function. Identify the domain and
range.
7.
ANSWER:
D = {all real numbers};
R = {all integers}
Graph each function. Identify the domain and
range.
9.
ANSWER:
D = {all real numbers};
11.
ANSWER:
D = {all real numbers};
Graph each function. Identify the domain and
range.
13.
ANSWER:
Art needs fixed pt should be at (2,5)
15.
ANSWER:
Write the piecewise-defined function shown in
each graph.
17.
ANSWER:
19.
ANSWER:
Graph each function. Identify the domain and
range.
21.
ANSWER:
Art Change
D={allrealnumbers};
R = {all integers}
23.
ANSWER:
D={allrealnumbers};
R = {all even integers}
Graph each function. Identify the domain and
range.
25.
ANSWER:
D = {all real numbers};
27.
ANSWER:
D = {all real numbers};
29.
ANSWER:
D = {all real numbers};
31.CCSS SENSE-MAKING A car’s speedometer
reads 60 miles an hour.
a. Write an absolute value function for the difference
between the car’s actual speed a and the reading on
the speedometer.
b. What is an appropriate domain for the function?
Explain your reasoning.
c. Use the domain to graph the function.
ANSWER:
a.
b.
c.
Use each graph to write the absolute value
function.
33.
ANSWER:
Graph each function. Identify the domain and
range.
35.
ANSWER:
D={allrealnumbers};
R = {all whole numbers}
37.
ANSWER:
D = {all real numbers};
39.MULTIPLE REPRESENTATIONS Consider the
following absolute value functions.
a. TABULAR Use a graphing calculator to create a
table of f(x) and g(x) values for x = –4 to x = 4.
b. GRAPHICAL Graph the functions on separate
graphs.
c. NUMERICAL Determine the slope between
each two consecutive points in the table.
d. VERBAL Describe how the slopes of the two
sections of an absolute value graph are related.
ANSWER:
a.
b.
c.
d. The two sections of an absolute value graph have
opposite slopes. The slope is constant for each
section of the graph.
41.CHALLENGE Graph
ANSWER:
43.OPEN ENDED Write an absolute value function in
which f(5) = –3.
ANSWER:
Sample answer:
45.SHORT RESPONSE What expression gives the
nth term of the linear pattern defined by the table?
ANSWER:
3n + 1
47.NUMBER THEORY Twelve consecutive integers
are arranged in order from least to greatest. If the
sum of the first six integers is 381, what is the sum of
the last six integers?
F345
G 381
H 387
J417
ANSWER:
J
49.SPORTS There are 15,991 more student athletes in
New York than Illinois. Write and solve an equation
to find the number of student athletes in Illinois.
ANSWER:
350,349 - x = 15, 991; 334,358
Write an equation in slope-intercept form for
the line described.
51.passes through (4, 0), parallel to 3x + 2y = 6
ANSWER:
Find each value if f(x) = –4x + 6, g(x) = –x2, and
h(x) = –2x2 – 6x + 9.
53.
f(2c)
ANSWER:
–8c + 6
55.h(6)
ANSWER:
–99
Graph each equation.
57.y = –0.25x + 8
ANSWER:
59.8x + 4y = 32
ANSWER:
Graph each function. Identify the domain and
range.
1.
ANSWER:
D = {all real numbers};
Write the piecewise-defined function shown in
each graph.
3.
ANSWER:
5.CCSS REASONING Springfield High School’s
theater can hold 250 students. The drama club is
performing a play in the theater. Draw a graph of a
step function that shows the relationship between the
number of tickets sold x and the minimum number of
performances y that the drama club must do.
ANSWER:
Graph each function. Identify the domain and
range.
7.
ANSWER:
D = {all real numbers};
R = {all integers}
Graph each function. Identify the domain and
range.
9.
ANSWER:
D = {all real numbers};
11.
ANSWER:
D = {all real numbers};
Graph each function. Identify the domain and
range.
13.
ANSWER:
Art needs fixed pt should be at (2,5)
15.
ANSWER:
Write the piecewise-defined function shown in
each graph.
17.
ANSWER:
19.
ANSWER:
Graph each function. Identify the domain and
range.
21.
ANSWER:
Art Change
D={allrealnumbers};
R = {all integers}
23.
ANSWER:
D={allrealnumbers};
R = {all even integers}
Graph each function. Identify the domain and
range.
25.
ANSWER:
D = {all real numbers};
27.
ANSWER:
D = {all real numbers};
29.
ANSWER:
D = {all real numbers};
31.CCSS SENSE-MAKING A car’s speedometer
reads 60 miles an hour.
a. Write an absolute value function for the difference
between the car’s actual speed a and the reading on
the speedometer.
b. What is an appropriate domain for the function?
Explain your reasoning.
c. Use the domain to graph the function.
ANSWER:
a.
b.
c.
Use each graph to write the absolute value
function.
33.
ANSWER:
Graph each function. Identify the domain and
range.
35.
ANSWER:
D={allrealnumbers};
R = {all whole numbers}
37.
ANSWER:
D = {all real numbers};
39.MULTIPLE REPRESENTATIONS Consider the
following absolute value functions.
a. TABULAR Use a graphing calculator to create a
table of f(x) and g(x) values for x = –4 to x = 4.
b. GRAPHICAL Graph the functions on separate
graphs.
c. NUMERICAL Determine the slope between
each two consecutive points in the table.
d. VERBAL Describe how the slopes of the two
sections of an absolute value graph are related.
ANSWER:
a.
b.
c.
d. The two sections of an absolute value graph have
opposite slopes. The slope is constant for each
section of the graph.
41.CHALLENGE Graph
ANSWER:
43.OPEN ENDED Write an absolute value function in
which f(5) = –3.
ANSWER:
Sample answer:
45.SHORT RESPONSE What expression gives the
nth term of the linear pattern defined by the table?
ANSWER:
3n + 1
47.NUMBER THEORY Twelve consecutive integers
are arranged in order from least to greatest. If the
sum of the first six integers is 381, what is the sum of
the last six integers?
F345
G 381
H 387
J417
ANSWER:
J
49.SPORTS There are 15,991 more student athletes in
New York than Illinois. Write and solve an equation
to find the number of student athletes in Illinois.
ANSWER:
350,349 - x = 15, 991; 334,358
Write an equation in slope-intercept form for
the line described.
51.passes through (4, 0), parallel to 3x + 2y = 6
ANSWER:
Find each value if f(x) = –4x + 6, g(x) = –x2, and
h(x) = –2x2 – 6x + 9.
53.
f(2c)
ANSWER:
–8c + 6
55.h(6)
ANSWER:
–99
Graph each equation.
57.y = –0.25x + 8
ANSWER:
59.8x + 4y = 32
ANSWER:
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2-5 Special Functions
