
a.
To explain what a one to one function is.
a.

Answer to Problem 12RCC
A function with domain A is called a one-to-one function if no two elements of A have the same image, that is,
Explanation of Solution
Given:
The expression one to one function is given.
Concept Used:
The concept of one to one functions is used.
A function with domain A is called a one-to-one function if no two elements of A have the same image, that is,
b.
To explain how we can tell from graph of a function whether it is one to one.
b.

Answer to Problem 12RCC
If the graph of a function f is known, it is easy to determine if the function is one to one. Use the Horizontal Line Test. If no horizontal line intersects the graph of the function f in more than one point, then the function is one to one.
Explanation of Solution
Given:
The expression one to one function is given.
Concept Used:
The concept of one to one functions is used.
If the graph of a function f is known, it is easy to determine if the function is one to one. Use the Horizontal Line Test. If no horizontal line intersects the graph of the function f in more than one point, then the function is one to one.
c.
To define
c.

Answer to Problem 12RCC
The inverse function
Explanation of Solution
Given:
The expression of inverse function
Concept Used:
The concept of inverse functions is used.
The inverse function
The Domain of
d.
To explain how to find the formula of
d.

Answer to Problem 12RCC
The steps to find out the formula of
1. Write
2. Solve this equation for x in terms of y (if possible).
3. Interchange x and y. The resulting equation is
Explanation of Solution
Given:
The expression of inverse function
Concept Used:
The concept of inverse functions is used.
1. Write
2. Solve this equation for x in terms of y (if possible).
3. Interchange x and y. The resulting equation is
e.
To explain how to plot the graph of
e.

Answer to Problem 12RCC
The graph of
Explanation of Solution
Given:
The graph of function f is given.
Concept Used:
The concept of inverse functions is used.
The graph of
Chapter 2 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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