Concept explainers
a.
To calculate: the values of
a.
Answer to Problem 6E
Explanation of Solution
Given information: the graph of function g is provided,
Graph:
Interpretation:
In the graph, the value of
Similarly, the corresponding y -values for,
Hence,
b.
the domain and the range of the provided graph
b.
Answer to Problem 6E
The domain and range of g is [-2,8] and [2,7], respectively.
Explanation of Solution
Given information: the graph of function g is provided,
Graph:
Interpretaion:
The domain of the function g is all the x -values of the points on the graph, and the range is all the corresponding y -values.
From the graph of g , we see that the domain of g is the interval [-2, 8] and the range of g is the interval [2, 7].
Hence, the domain and range of g is [-2,8] and [2,7], respectively.
c.
To calculate: the value of x for which g ( x ) = 4
c.
Answer to Problem 6E
the value of x for which g ( x ) = 3 is
Explanation of Solution
Given information: the graph of function g is provided,
Graph:
The function value of g ( a ) from the graph of g , is the height of the graph above the x -axis at x = a ,
Therefore, g ( x ) = 4 is the x -value on the x -axis where the height above it is 4, that are,
hence, the value of x for which g ( x ) = 3 is
d.
To calculate: the values for
d.
Answer to Problem 6E
the values of x for
Explanation of Solution
Given information: the graph of function h is provided,
Graph:
Interpretation:
When
Therefore, the x-values from the graph for
Hence, the values of x for
Chapter 2 Solutions
Precalculus: Mathematics for Calculus - 6th Edition