Cumulative Exam — Cumulative exam Answers
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Which graph shows a rate of change of between –4 and 0 on the x-axis?
A
On a coordinate plane, a straight line with a positive slope crosses the x-axis at (6, 0) and the y-axis at (0, 3). Solid circles appear on the line at (negative 4, negative 1), (0, 3).
B
On a coordinate plane, a parabola opens up. It goes through (negative 5.25, 4), has a vertex of (0, negative 3), and goes through (5.25, 4). Solid circles appear on the parabola at (negative 4, 1), (0, negative 3).
C
On a coordinate plane, a parabola opens down. It goes through (negative 5.5, negative 4), has a vertex of (0, 4), and goes through (5.5, negative 4). Solid circles appear on the parabola at (negative 4, 0), (0, 4).
D
On a coordinate plane, a curved line opens up and left in quadrant 2. It is asymptotic to the negative x-axis and positive y-axis. Solid circles appear on the line at (negative 4, 0.25), (0, 4).
42
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Which expression is equivalent to ?
A
2 log Subscript 5 Baseline x + log Subscript 5 Baseline 4
B
2 log Subscript 5 Baseline x + log Subscript 5 Baseline 16
C
2 log Subscript 5 Baseline x + 2 log Subscript 5 Baseline 4
D
2 log Subscript 5 Baseline x + log Subscript 5 Baseline 4
43
What is the solution of ?
A
x = 5B
x = 13C
x = 20D
x = 32844
Which of the following is the graph of ?
A
On a coordinate plane, 2 curves are shown. Both curves have an asymptote at x = 2. One curve opens up and to the right in quadrant 1. The other curve opens down and to the left and it crosses the x-axis at (1, 0).
B
On a coordinate plane, 2 curves are shown. Both curves have an asymptote at x = 2. One curve opens up and to the right in quadrants 1 and 4. It crosses the x-axis at (3, 0). The other curve opens down and to the left and it crosses the y-axis at (0, negative 1.5).
C
On a coordinate plane, 2 curves are shown. Both curves have an asymptote at x = negative 2. One curve opens up and to the right in quadrants 1 and 2. It crosses the y-axis at (0, 1.5). The other curve opens down and to the left and it crosses the x-axis at (negative 3, 0).
D
On a coordinate plane, 2 curves are shown. Both curves have an asymptote at x = negative 2. One curve opens up and to the right in quadrants 1, 2, and 4. It crosses the x-axis at (negative 1, 0). The other curve opens down and to the left in quadrant 3.
45
The projectile motion of an object can be modeled using s(t) = gt2 + v0t + s0, where g is the acceleration due to gravity, t is the time in seconds since launch, s(t) is the height after t seconds, v0 is the initial velocity, and s0 is the initial height. The acceleration due to gravity is –4.9 m/s2.
A
0 = –4.9t2 + 19.6t + 24.5B
0 = –4.9t2 + 24.5t + 19.6C
19.6 = –4.9t2 + 24.5tD
24.5 = –4.9t2 + 19.6t46
Ali graphs the function f(x) = –(x + 2)2 – 1 as shown.
A
The axis of symmetry should be x = –1.B
The axis of symmetry should be x = 2.C
The vertex should be a maximum.D
The vertex should be (–2, 1).47
What are the domain and range of the function f(x) = 4?
A
{x| x is a real number}; {y| y > 0}B
{x| x > 4}; {y| y > 0}C
{x| x is a real number}; {y| y > 4}D
{x| x > 4}; {y| y > 4}48
How is the graph of transformed to produce the graph of ?
A
It is stretched horizontally by a factor of 2 and translated up 3 units.B
It is compressed horizontally by a factor of 2 and translated up 3 units.C
It is stretched vertically by a factor of 2 and translated up 3 units.D
It is compressed vertically by a factor of 2 and translated up 3 units.49
Which graph represents the following piecewise defined function?
A
mc004-2.jpg
B
mc004-3.jpg
C
mc004-4.jpg
D
mc004-5.jpg
50
What is the value of ?
A
–4.00B
–0.25C
1.51D
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