assignment 2.5, 2.6, 2.7 multiple choice. choose the one...
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Assignment 2.5, 2.6, 2.7
Name___________________________________MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Solve the problem. Write all linear equations in slope-intercept form.
1) 1)A biologist recorded 11 snakes on 24 acres in one area and 13 snakes on 49 acres in another area.Find a linear equation that models the number of snakes in x acres.
A) y =225
x -22725 B) y =
225
x +22725 C) y = x + 13 D) y =
252
x +25227
Write an equation for the line described. Write the equation in the form specified.
2) 2)parallel to y = -2, through (8, 4)
A) y = -2 B) y = -4 C) y = 8 D) y = 4
Write an equation for the line described. Give your answer in slope-intercept form.
3) m =52
, b = -3 3)
A) 52
x - 3y = 0 B) y = -3x +52 C) y =
52
x - 3 D) y =52
x + 3
Find the slope and the y-intercept of the line.
4) 4)y = -5x - 7
A) slope: 5; y-intercept: -7 B) slope: -7; y-intercept: -5
C) slope: -7; y-intercept: 5 D) slope: -5; y-intercept: -7
The graph of a linear function f is shown. Write the equation that defines f. Write the equation in slope-intercept form.
5) 5)
A) y = -x + 1 B) y = x + 1 C) y = x - 1 D) y = -x - 1
1
The graph of a linear function f is shown. Identify the slope, y-intercept, and x-intercept.
6) 6)
A) 3; -6, 2 B) 13
; -6, 2 C) 3; 2, -6 D) 13
; 2, -6
Write an equation for the line described. Give your answer in standard form.
7) 7)through (2, 5), undefined slope
A) x = 2 B) x = 5 C) y = 2 D) y = 5
Write an equation for the line described. Write the equation in the form specified.
8) 8)perpendicular to x = -7, through (4, 1)
A) x = 4 B) y = 4 C) x = 1 D) y = 1
The graph of a linear function f is shown. Identify the slope, y-intercept, and x-intercept.
9) 9)
A) -12
; 4, 2 B) -12
; 2, 4 C) -2; 2, 4 D) 12
; 2, 4
2
The graph of a linear function f is shown. Write the equation that defines f. Write the equation in slope-intercept form.
10) 10)
A) y = 4x B) y =14
x C) y = -14
x D) y = -4x
Solve the problem.
11) 11)Assume it costs 25 cents to mail a letter weighing one ounce or less, and then 20 cents for eachadditional ounce or fraction of an ounce. Let L(x) be the cost of mailing a letter weighing x ounces.Graph y = L(x).
A) B)
Graph the function.
12) 12)f(x) = x + 1
3
A) B)
C) D)
4
Refer to the following graphs to determine an appropriate response.
Graph A Graph B
Graph C Graph D
13) 13)Which one is discontinuous over its domain? What is its range?
A) graph C; (- , ) B) graph B; (- , )
C) graph B; [0, ) D) graph C; {-2, -1, 0, 1, 2}
Find the requested value.
14) f(7) for f(x) =2x + 1, if x < 17x, if 7 x 97 - 9x, if x > 9
14)
A) 82 B) -56 C) 49 D) 3
5
Refer to the following graphs to determine an appropriate response.
Graph A Graph B
Graph C Graph D
15) 15)Which graphs of functions increase over the whole of their domain?
A) graph D B) graphs C and D C) graphs A and B D) graphs A and D
6
Determine the intervals of the domain over which the function is continuous.
16) 16)
A) [2, ) B) (- , ) C) (- , 2) (2, ) D) (- , 3) (3, )
Graph the function.
17) f(x) =x2 - 9, if x < -10, if -1 x 1x2 + 9, if x > 1
17)
A) B)
7
C) D)
8
Refer to the following graphs to determine an appropriate response.
Graph A Graph B
Graph C Graph D
18) 18)Which one is the graph of y = x3? What is its range?
A) graph C; [-2, 2] B) graph B; (- , )
C) graph D; [0, ) D) graph A; (- , )
19) 19) Which one is the graph of y = x? What is it's domain?
A) graph B; [0, ) B) graph C; {-2, -1, 0, 1, 2}
C) graph D; [0, ) D) graph A; (- , )
Solve the problem.
9
20) 20)Sketch a graph showing the distance (in miles) that a person is from home after x hours if thatindividual drives at 27.5 mph to a lake 55 miles away, stays at the lake 1.5 hours, and then returnshome at a speed of 55 mph.
A)
137.5
110
82.5
55
27.5
0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5
B)
68.75
55
41.25
27.5
13.75
0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5
C)
68.75
55
41.75
27.5
13.75
0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5
10
Suppose the point (2, 4) is on the graph of y = f(x). Find a point on the graph of the given function.
21) 21)y = f(x) + 2
A) (2, 6) B) (2, -2) C) (0, 4) D) (4, 4)
Graph the function.
22) 22)g(x) = -(x - 5)3 + 2
A) B)
C) D)
11
Determine whether the equation has a graph that is symmetric with respect to the y-axis, the x-axis, the origin, or none ofthese.
23) 23)y = -8x4 + 8x - 3
A) y-axis only B) origin only C) x-axis only D) none of these
Describe how the graph of the equation relates to the graph of y = x2.
24) 24)f(x) = -(x + 9)2
A) a translation 9 units to the right and a reflection across the x-axis
B) a translation 9 units to the right and a reflection across the y-axis
C) a translation 9 units up and a reflection across the x-axis
D) a translation 9 units to the left and a reflection across the x-axis
Graph the function.
25) 25)y = x2 - 2
A) B)
12
C) D)
Solve the problem.
26) 26)
A) y = 2x2 B) y = -2x2 C) y = -x2 D) y = -12
x2
Graph the function.
27) 27)f(x) = |3x|
13
A) B)
C) D)
The figure below shows the graph of a function y = f(x). Use this graph to solve the problem.
28) Sketch the graph of y = -12
f(x). 28)
14
A) B)
C) D)
Graph the function.
29) f(x) = -12
x2 29)
15
A) B)
C) D)
The figure below shows the graph of a function y = f(x). Use this graph to solve the problem.
30) 30)Sketch the graph of y = -f(x).
16
A) B)
C) D)
17