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A)
B)
C)
D)
Use the graph to identify domain and range.
179)
179)
A)
domain: ( , )
range: ( , )
B)
domain: (0, )
range: ( , )
C)
domain: ( , )
range:(0, )
D)
domain: (0, )
range: (0, )
Decide whether the relation is a function.
180)
{(-6, 2), (-6, -3), (2, 3), (6, 7), (10, -9)}
180)
A)
function
B)
not a function
Find the indicated function value.
181)
f(x) =8- 8x, g(x) = - 5x + 8
Find (f + g)(x).
181)
A)
3x
B)
-5x + 8
C)
-3x + 16
D)
-13x + 16
Write the point-slope form of the line satisfying the conditions. Then use the point-slope form of the equation to write
the slope-intercept form of the equation in function notation.
182)
Passing through (7, -47) and (-2, 7)
182)
A)
f(x) = - 1
6x -275
6
B)
f(x) = - 6x - 5
C)
f(x) =1
6x -289
6
D)
f(x) =6x - 89
Find the slope.
183)
Find the slope of a line parallel to the line y = - 5
3x.
183)
A)
-5
3
B)
0
C)
3
5
D)
undefined
Given f(x) and g(x), find the following.
184)
f(x) =x2- 6x and g(x) = x + 5. Find (fg)(-3).
184)
A)
6
B)
63
C)
-8
D)
54
Graph the equation in the rectangular coordinate system.
185)
y = - 1
185)
A)
B)
83
C)
D)
Graph the given functions on the same rectangular coordinate system. Describe how the graph of g is related to the graph
of f.
186)
f(x) =x, g(x) =x-2
186)
A)
g shifts the graph of f vertically
down 2units
B)
g shifts the graph of f vertically
up 2units
84
C)
g shifts the graph of f vertically
up 2units
D)
g shifts the graph of f vertically
down 2units
Find the slope.
187)
Find the slope of a line perpendicular to the line y = - 5
3x + 4.
187)
A)
4
B)
-5
3
C)
undefined
D)
3
5
Graph the equation in the rectangular coordinate system.
188)
4x =20
188)
85
A)
B)
C)
D)
Write the point-slope form of the line satisfying the conditions. Then use the point-slope form of the equation to write
the slope-intercept form of the equation in function notation.
189)
Passing through (0, 0) and 8, 2
189)
A)
f(x) =4
B)
f(x) =1
4x
C)
f(x) =1
4
D)
f(x) =4x
190)
Passing through (4, 2) and (-10, 2)
190)
A)
f(x) = - 10
B)
f(x) =2
C)
f(x) =4
D)
f(x) = 0
Decide whether the relation is a function.
191)
{(-6, 5), (-6, -4), (-1, -8), (3, 4), (9, 6)}
191)
A)
function
B)
not a function
Find the slope of the line that goes through the given points.
192)
(11, -13), (13, 5)
192)
A)
9
B)
- 9
C)
-1
3
D)
1
9
Use intercepts and a checkpoint to graph the linear function.
193)
6x - 18y =36
193)
A)
(0, -2), (-6, 0)
B)
(0, -6), (2, 0)
87
C)
(0, -2), (6, 0)
D)
(0, 6), (-2, 0)
Use the slope and y-intercept to graph the linear function.
194)
7x - 5y = 0
194)
A)
B)
88
C)
D)
Use the vertical line test to determine whether or not the graph is a graph of a function.
195)
195)
A)
function
B)
not a function
Find the slope then describe what it means in terms of the rate of change of the dependent variable per unit change in the
independent variable.
196)
The linear function f(x) = - 7.4x +35 models the percentage of people, f(x), who eat at fast food
restaurants each week x years after 1998.
196)
A)
m =7.4; the percentage of people eating at fast food restaurants each week has increased at a
rate of -7.4% per year after 1998.
B)
m =7.4; the percentage of people eating at fast food restaurants each week has increased at a
rate of 7.4% per year after 1998.
C)
m =35; the percentage of people eating at fast food restaurants each week has increased at a
rate of -7.4% per year after 1998.
D)
m = - 7.4; the percentage of people eating at fast food restaurants each week has decreased at
a rate of -7.4% per year after 1998.
Graph the equation in the rectangular coordinate system.
197)
x =5
197)
A)
B)
90
C)
D)
Use the slope and y-intercept to graph the linear function.
198)
-5x + 8y = 0
198)
A)
B)
91
C)
D)
Find an equation for the line with the given properties.
199)
The solid line L contains the point (2, 3) and is parallel to the dotted line whose equation is y =2x.
Give the equation for the line L in slope-intercept form.
199)
A)
y - 3 =2(x -2)
B)
y = 2x + b
C)
y =2x - 1
D)
y =2x + 1
Graph the equation in the rectangular coordinate system.
92
200)
8y =24
200)
A)
B)
C)
D)
Use the vertical line test to determine whether or not the graph is a graph of a function.
201)
201)
A)
function
B)
not a function
Use the graph of f to solve.
202)
Find the range of f.
202)
A)
[3, 8]
B)
(0, 8)
C)
[0, 8]
D)
( , )
Use the graph to identify domain and range.
203)
203)
A)
domain: [- 1, )
range: ( , )
B)
domain: ( , )
range: (- 1, )
C)
domain: (- 1, )
range: ( , )
D)
domain: ( , )
range: [- 1, )
Use the given conditions to write an equation for the line in slope-intercept form.
204)
Passing through (5, 5) and perpendicular to the line whose equation is y =3x.
204)
A)
y = - 1
3x -20
3
B)
y = - 1
3x +20
3
C)
y = - 3x - 20
D)
y =1
3x -20
3
Find the indicated function value.
205)
f(x) =4x2- 2x - 7, g(x) = - 7x + 4
Find (f + g)(-4).
205)
A)
-63
B)
-31
C)
-43
D)
97
95
Use the vertical line test to determine whether or not the graph is a graph of a function.
206)
206)
A)
not a function
B)
function
Find the indicated function value.
207)
Find f(0) when f(x) =x2+ 5x - 7.
207)
A)
-7
B)
7
C)
49
D)
0
Decide whether the relation is a function.
208)
{(1, 2), (3, 2), (4, -8), (9, -6), (12, 1)}
208)
A)
not a function
B)
function
Find the slope and the y-intercept of the line.
209)
f(x) =1
2x
209)
A)
m =1
2; b = 0
B)
m = - 1
2; b = 0
C)
m =2; b = 0
D)
m = 0; b =1
2
Solve the problem.
210)
The total individual income tax collected by the tax collecting body of a country is a function of the
number of people working, their income, and the tax rates. It has increased each year since 1985.
The table below shows the individual income tax collected (in billions) for the time period between
1985 and 2010. Find the average annual rate of change between 1995 and 2005.
Individual Income Tax Collected (in billions)
Tax Collected
(billions)
Year
210)
A)
$25 billion per year
B)
$37.8 billion per year
C)
$38.3 billion per year
D)
$34.1 billion per year
Evaluate the function.
211)
If f(x) =x2+ 5x - 7, find f(3).
211)
A)
-13
B)
31
C)
17
D)
1
For the pair of functions, determine the domain of f +
g.
212)
f(x) =3x2+ 6, g(x) =4x3+ 10
212)
A)
(0, )
B)
( , 0) or (0, )
C)
( , )
D)
( , 0)
97
