Identify the intervals where the function is changing as requested.
190)
Constant
190)
A)
(2, )
B)
(1, 2)
C)
(–1, 1)
D)
(–2, –1)
Begin by graphing the standard cubic function f(x) =x3. Then use transformations of this graph to graph the given
function.
191)
g(x) = – x3– 3
191)
A)
B)
95
C)
D)
The graph below shows the percentage of students enrolled in the College of Engineering at State University. Use the
graph to answer the question.
192)
Does the graph represent a function?
192)
A)
yes
B)
no
A
A
Use the vertical line test to determine whether or not the graph is a graph in which y is a function of x.
193)
193)
A)
function
B)
not a function
Give the domain and range of the relation.
194)
{(–2, 3), (–1, 0), (0, –1), (1, 0), (3, 8)}
194)
A)
domain: {3, 0, –1, 8}; range: {–2, –1, 0, 1, 3}
B)
domain: {3, 0, –1, 8}; range: {–2, –1, 1, 3}
C)
domain: {–2, –1, 0, 1, 3}; range: {3, 0, –1, 8}
D)
domain: {–2, –1, 1, 3}; range: {3, 0, –1, 8}
Determine whether the equation defines y as a function of x.
195)
x +y3=27
195)
A)
y is a function of x
B)
y is not a function of x
Begin by graphing the standard quadratic function f(x) =x2 . Then use transformations of this graph to graph the given
function.
196)
h(x) = – (x + 2)2
196)
97
A)
B)
C)
D)
98
Use the graph of f to draw the graph of its inverse function.
197)
197)
A)
B)
Find and simplify the difference quotient f(x +
h) – f(x)
h, h
0 for the given function.
198)
f(x) =3x2
198)
A)
3(2x2+ 2xh +h2)
h
B)
3
C)
3(2x+h)
D)
6
h+ x +3h
C
A
Find the slope of the line that goes through the given points.
199)
(–1, 7), (–8, 7)
199)
A)
0
B)
1
C)
2
D)
9
Use the shape of the graph to name the function.
200)
200)
A)
Constant function
B)
Standard cubic function
C)
Standard quadratic function
D)
Square root function
D
Use the given conditions to write an equation for the line in slope–intercept form.
201)
Passing through (5, 3) and (4, 6)
201)
A)
y = mx + 18
B)
y =3x + 18
C)
y – 3 = – 3(x – 5)
D)
y = – 3x + 18
D
Begin by graphing the standard function f(x) =x3 Then use transformations of this graph to graph the given function.
100
A
202)
h(x) =1
2(–2x)3
202)
A)
B)
C)
D)
Write the standard form of the equation of the circle with the given center and radius.
203)
(–8, 8); 5
203)
A)
(x + 8)2+ (y – 8)2=5
B)
(x + 8)2+ (y – 8)2=25
C)
(x – 8)2+ (y + 8)2=5
D)
(x – 8)2+ (y + 8)2=25
Use the graph to determine the function’s domain and range.
204)
204)
A)
domain: (–, )
range: (–, )
B)
domain: x = – 5
2
range: y =5
C)
domain: x = – 5
2
range: (–, )
D)
domain: (–, )
range: y =5
A
Give the domain and range of the relation.
205)
{(–6, –3), (–8, –1), (–4, –7), (8, 2), (5, –4)}
205)
A)
domain = {8, 2, –4, –7, –6}; range = {–3, –8, –1, 5, –4}
B)
domain = {2, –7, –3, –1, –4}; range = {8, –4, –6, –8, 5}
C)
domain = {–3, –8, –1, 5, –4}; range = {8, 2, –4, –7, –6}
D)
domain = {8, –4, –6, –8, 5}; range = {2, –7, –3, –1, –4}
D
B
Answer Key
Testname: C2
103
Answer Key
Testname: C2
Answer Key
Testname: C2
Answer Key
Testname: C2
106
Answer Key
Testname: C2