Chapter 2 6 the slope-intercept form of the equation in function notation

subject Type Homework Help
subject Pages 11
subject Words 1073
subject Authors Robert F Blitzer

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page-pf1
Use the graph of f to solve.
213)
Find f(-2)
213)
A)
0.4
B)
-4.5
C)
4.5
D)
-0.4
Find the slope of the line that goes through the given points.
214)
(-7, -3), (-7, -9)
214)
A)
0
B)
-3
7
C)
6
7
D)
Undefined
Find the requested value.
215)
f(x) =5x2- 6x + 6, g(x) =7x - 8
Find f(3) + g(3).
215)
A)
88
B)
72
C)
-44
D)
46
98
page-pf2
Find the slope.
216)
Find the slope of a line perpendicular to the line y = - 3.
216)
A)
0
B)
undefined
C)
-1
3
D)
-3
Find the indicated function value.
217)
f(x) =3x2- 5, g(x) =2x2-4
Find (f + g)(2).
217)
A)
19
B)
7
C)
3
D)
11
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.
218)
Slope = - 6, passing through (5, 3)
218)
A)
f(x) = - 1
6x -11
2
B)
f(x) = - 6x + 33
C)
f(x) =6x - 33
D)
f(x) = - 6x - 33
Find the domain of the function.
219)
f(x) =1
x - 3 +4
x + 6
219)
A)
( , -6) or (-6, 3) or (3, )
B)
( , -3) or (-3, 6) or (6, )
C)
( , )
D)
( , -6) or (3, )
page-pf3
Find the slope of the line.
220)
220)
A)
0
B)
7
C)
5
D)
undefined
Solve the problem.
221)
The total cost in dollars for a certain company to produce x empty jars to be used by a jelly
producer is given by the polynomial equation C(x) =0.7x +27,000. Find C(70,000). Describe what
this means in terms of the variables of the equation.
221)
A)
$27.70; The cost of producing 70,000 jars was $27.70.
B)
$70,027; The cost of producing 70,000 jars was $70,027.
C)
$49,000; The cost of producing 70,000 jars was $49,000.
D)
$76,000; The cost of producing 70,000 jars was $76,000.
page-pf4
Use the vertical line test to determine whether or not the graph is a graph of a function.
222)
222)
A)
function
B)
not a function
Use the given conditions to write an equation for the line in slope-intercept form.
223)
Passing through (4, -2) and parallel to the line whose equation is 8x + y =6.
223)
A)
y = - 8x + 30
B)
y =8x - 30
C)
y = - 1
8x -15
4
D)
y = - 8x - 30
Find the slope.
224)
Find the slope of a line perpendicular to the line x =2.
224)
A)
undefined
B)
1
2
C)
0
D)
2
page-pf5
Use the graph to find the indicated function value.
225)
y = f(x). Find f(-2)
225)
A)
5
B)
-2
C)
1.25
D)
2
Use the vertical line test to determine whether or not the graph is a graph of a function.
226)
226)
A)
function
B)
not a function
page-pf6
Solve.
227)
A vendor has learned that, by pricing carmel apples at $1.75, sales will reach 115 carmel apples per
day. Raising the price to $2.25 will cause the sales to fall to 93 carmel apples per day. Let y be the
number of carmel apples the vendor sells at x dollars each. Write a linear equation that models the
number of carmel apples sold per day when the price is x dollars each.
227)
A)
y =44x + 38
B)
y = - 44x +192
C)
y = - 44x -192
D)
y = - 1
44 x +20233
176
228)
When making a telephone call using a calling card, a call lasting 4 minutes cost $1.30. A call lasting
12 minutes cost $2.90. Let y be the cost of making a call lasting x minutes using a calling card.
Write a linear equation that models the cost of a making a call lasting x minutes.
228)
A)
y =5x -187
10
B)
y =0.2x - 9.1
C)
y = - 0.2x +2.1
D)
y =0.2x +0.5
Find the slope and the y-intercept of the line.
229)
5x + y - 7 = 0
229)
A)
m = - 5; b =7
B)
m =5
7; b =1
7
C)
m = - 1
5; b =7
5
D)
m =5; b =7
103
page-pf7
Solve the problem.
230)
The graph shows that the cost of the average college mathematics textbook has been rising steadily
since 2000.
Average Cost of a College
Mathematics Textbook
Cost
(dollars)
Years since 2000
Predict the cost of an average college mathematics textbook in year 2036.
230)
A)
$370
B)
$170
C)
$492
D)
$262
Use the slope and y-intercept to graph the linear function.
231)
f(x) =2x - 2
231)
104
page-pf8
A)
B)
C)
D)
Use the vertical line test to determine whether or not the graph is a graph of a function.
232)
232)
A)
function
B)
not a function
page-pf9
Find the indicated function value.
233)
f(x) =2x + 4, g(x) =2x2-1
Find (f + g)(3).
233)
A)
24
B)
27
C)
29
D)
23
Graph the equation in the rectangular coordinate system.
234)
-3x - 7 =17
234)
A)
B)
C)
D)
page-pfa
Find the slope of the line that goes through the given points.
235)
(3, -4) and ( 4
5, -1)
235)
A)
11
15
B)
-15
11
C)
-11
15
D)
25
11
Use the slope and y-intercept to graph the linear function.
236)
f(x) =1
4x
236)
A)
B)
107
page-pfb
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.
237)
Passing through (4, 38) and (6, 52)
237)
A)
f(x) = - 1
7x +270
7
B)
f(x) =1
7x +262
7
C)
f(x) = - 7x +66
D)
f(x) =7x +10
Find the domain and range.
238)
{(7,7), (-1,-3), (-2,-7), (-2,3)}
238)
A)
domain = {7, -1, -2, -12}; range = {7, -3, -7, 3}
B)
domain = {7, -1, -2, 2}; range = {7, -3, -7, 3}
C)
domain = {7, -1, -2}; range = {7, -3, -7, 3}
D)
domain = {7, -3, -7, 3}; range = {7, -1, -2}
page-pfc
239)
{(-4,6), (9,3), (1,-1), (-6,-9)}
239)
A)
domain = {9, -4, 1, -6}; range = {3, -6, 6, -1, -9}
B)
domain = {9, -4, 1, -6}; range = {3, 3, 6, -1, -9}
C)
domain = {3, 6, -1, -9}; range = {9, -4, 1, -6}
D)
domain = {9, -4, 1, -6}; range = {3, 6, -1, -9}
Use the vertical line test to determine whether or not the graph is a graph of a function.
240)
240)
A)
function
B)
not a function
Find the slope.
241)
Find the slope of a line parallel to the line y = - 3
5x - 3.
241)
A)
5
3
B)
-3
5
C)
-3
D)
undefined
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Answer Key
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Answer Key
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Answer Key
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Answer Key
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