Math 110 Advanced Functions Final Exam Review Notes.
1.
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 answerM110, Module
5 Exam 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 answerM110, Module
5 Exam
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 answerM110, Module
5 Exam
4.
What is the range of the inverse function of
f(x) = x3? f−1(x) > 0 f−1(x) < 0 f−1(x) ≥ 0
f−1(x) ≤ 0
All real numbers
View answerM110, Module
5 Exam 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) ∞➝
, lOMoARcPSD|64492663
View answerM110, Module 5 Exam
6.
In the exponential function f(x) = 3−x + 2, what is the end behavior of f(x) as x goes to
f(x) ➝ -2
f(x) ➝ 0
f(x) 2➝
f(x) ∞➝
View answerM110, Module 5 Exam
7. Evaluate the exponential function f(x) = 5 2x when x = -
1.
f(-1) = 25 f(-
1) = -25 f(-1)
= 125 f(-1) =
-125 f(-1) = -
10
View answerM110, Module 5 Exam
8.
If algae grows at a rate that can be modeled by the exponential function A(t) = ae rt,
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
1.
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 answerM110, Module
5 Exam 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 answerM110, Module
5 Exam
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 answerM110, Module
5 Exam
4.
What is the range of the inverse function of
f(x) = x3? f−1(x) > 0 f−1(x) < 0 f−1(x) ≥ 0
f−1(x) ≤ 0
All real numbers
View answerM110, Module
5 Exam 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) ∞➝
, lOMoARcPSD|64492663
View answerM110, Module 5 Exam
6.
In the exponential function f(x) = 3−x + 2, what is the end behavior of f(x) as x goes to
f(x) ➝ -2
f(x) ➝ 0
f(x) 2➝
f(x) ∞➝
View answerM110, Module 5 Exam
7. Evaluate the exponential function f(x) = 5 2x when x = -
1.
f(-1) = 25 f(-
1) = -25 f(-1)
= 125 f(-1) =
-125 f(-1) = -
10
View answerM110, Module 5 Exam
8.
If algae grows at a rate that can be modeled by the exponential function A(t) = ae rt,
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
