(a)
To find: is it increasing, decreasing, constant, or none of these.
It is increasing.
Given information:
The GPA
Calculation:
According to the table, the grade increases, the GPA also increases.
Hence,
Therefore, it is increasing.
(b)
To find: a table showing the change
The table
Given information:
The GPA
Calculation:
Here,
There will be
The table is shown below:
x moves from | ||
60 to 65 | 5 | 1.00 |
65 to 70 | 5 | 1.05 |
70 to 75 | 5 | 0.52 |
75 to 80 | 5 | 0.43 |
80 to 85 | 5 | 0.36 |
85 to 90 | 5 | 0.33 |
90 to 95 | 5 | 0.31 |
95 to 100 | 5 | 0.28 |
(c)
To find: is it increasing, decreasing, constant, or none of these.
It is decreasing.
Given information:
The change
Calculation:
Here,
There will be
The table is shown below:
1.00 | |
1.05 | 0.05 |
0.52 | -0.53 |
0.43 | -0.09 |
0.36 | -0.07 |
0.33 | -0.03 |
0.31 | -0.02 |
0.28 | -0.03 |
Except from
Hence, it is decreasing.
(d)
To find: the shape of the graph and
The shape of the graph is curved downward but increasing from left to right.
Given information:
The change
Calculation:
Graph the two sets of data, letting the
When
Therefore, the shape of the graph is curved downward but increasing from left to right.
(e)
To find: the graph of a function
The shape of the graph is curved upward but decreasing from left to right.
Given information:
The change
Calculation:
Using the same reasoning of the result from part (
Therefore, the shape of the graph is curved upward but decreasing from left to right.
Chapter 1 Solutions
PRECALCULUS:GRAPHICAL,...-NASTA ED.
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