
Concept explainers
a.
The domain and the range of the function f.
a.

Answer to Problem 11T
The domain of the function f = [0, 6]. The range of the function f = [1, 7]
Explanation of Solution
Given:
The graph of f is given.
Concept Used:
The concept of Domain and Range is used.
Calculation:
To Calculate Domain, look at the values that x can accept.
In the graph, x lies between 0 and 6, both included.
So, the domain of graph f is [0, 6].
To Calculate Range, look at the values of y.
In the graph, ylies between 1 and 7, both included.
So, the range of graph f is [1, 7].
Conclusion:
The domain of the function f = [0, 6]. The range of the function f = [1, 7].
b.
To sketch : the graph of
b.

Explanation of Solution
Given information : The graph of f is given.
Graph : The graph is plotted below.
Interpretation : The graph of
c.
The average rate of change of fbetween x = 2 and x = 6.
c.

Answer to Problem 11T
The average rate of change of f between x = 2 and x = 6 is
Explanation of Solution
Given:
The graph of f is given.
Concept Used:
The concept of Rate of change of graph is used.
Calculation:
To Calculate the average rate of change of f between x = 2 and x = 6.
Average Rate of Change of f =
Conclusion:
The average rate of change of fbetween x = 2 and x = 6 is
Chapter 2 Solutions
Precalculus - A Custom Text for UNLV
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