AMU MATH110 Wk 6 Test
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School
American Military University *
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Course
110
Subject
Mathematics
Date
Apr 3, 2024
Type
Pages
7
Uploaded by ColonelNewt3594
What is the inverse function of the f(x) = x2?
f−1(x) = 2x
f−1(x) = x2
f−1(x) = x + 2
f−1(x) = x − 2
f−1(x) = 2x + 2
View answer
2.
What is the inverse function of the f(x) = 3x+15?
f−1(x) = 5x+33
f−1(x) = 5x−33
f−1(x) = 3x−35
f−1(x) = 5x−13
f−1(x) = 5x+53
View answer
3.
What is the domain of the inverse function of f(x) = -x2?
x > 0
x < 0
x ≥ 0
x ≤ 0
All real numbers
View answer
4.
What is the range of the inverse function of f(x) = x3?
f−1(x) > 0
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f−1(x) < 0
f−1(x) ≥ 0
f−1(x) ≤ 0
All real numbers
View answer
5.
In the power function f(x) = -2x3, what is the end behavior of f(x) as x goes to ∞?
f(x) ➝
-∞
f(x) ➝
-2
f(x) ➝
0
f(x) ➝
2
f(x) ➝
∞
View answer
6.
In the exponential function f(x) = 3−x + 2, what is the end behavior of f(x)
as x goes to ∞?
f(x) ➝
-∞
f(x) ➝
-2
f(x) ➝
0
f(x) ➝
2
f(x) ➝
∞
View answer
7.
Evaluate the exponential function f(x) = 52x when x = -1.
f(-1) = 25
f(-1) = -25
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f(-1) = 125
f(-1) = -125
f(-1) = -10
View answer
8.
If algae grows at a rate that can be modeled by the exponential function A(t) = aert, what is the surface area of algae on a pond if the initial area of the algae (a) is 2 square meters, the growth rate (r) is 10%, and the algae grows for three days (t)? (Use a calcualtor or 2.718 for the value of
e.)
1.9
2.7
3.2
3.6
4.1
View answer
9.
What is the value of log3(27)?
1
3
9
27
Does not exist.
View answer
10.
What is the value of log2(-4)?
-8
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-2
2
8
Does not exist.
View answer
11.
What is the value of log4(164)?
14
116
-2
-3
-4
View answer
12.
If f(x) = ln(x), what is the transformation that occurs if g(x) = ln(x + 2)?
Shift 2 to the left.
Shift 2 to the right.
Shift 2 up.
Shift 2 down.
Cannot be determined.
View answer
13.
If f(x) = log(x), what is the transformation that occurs if g(x) = 3log(x)?
Compress by factor of 3.
Shift 3 right.
Stretch by factor of 3.
This study source was downloaded by 100000873221889 from CourseHero.com on 01-12-2024 23:41:09 GMT -06:00
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Shift 3 down.
Cannot be determined.
View answer
14.
Expand log(3x2y).
3logx − 2logy
log(x3) − log(y2)
32log(xy)
log3 + logx − log2 − logy
log(3x2y)
View answer
15.
Simplify 2ln(x + 2) − ln(x + 2) − ln(2) − 3.
ln(x+22) − 3
ln(x+25)
ln(x+26)
ln(x + 2) − ln(6)
ln(x + 2) − ln(5)
View answer
16.
Simplify the expression log5(250). (Note log(10)log(5) ≈ 1.4.)
1.4
2.8
3.4
4.6
5.4
View answer
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17.
What is the end behavior of f(x) in the function f(x) = log(x − 2) as x approaches 2?
f(x) ➝
-∞
f(x) ➝
-2
f(x) ➝
0
f(x) ➝
2
f(x) ➝
∞
View answer
18.
What is the value of x in the equation y12 = y2x?
2
3
5
6
12
View answer
19.
What is the value of x in the equation 316 = 92x?
0
2
4
6
8
View answer
20.
Solve for x in the equation logx(164) = -2.
Answer C
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This study source was downloaded by 100000873221889 from CourseHero.com on 01-12-2024 23:41:09 GMT -06:00
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