a.
To determine: The error appears for some entries.
The error is due to negative radicand.
Given Information:
The equation is defined as,
Explanation:
Consider the given information,
Draw the given tables,
0 | Error | |
1 | Error | |
2 | Error | |
3 | 0 | |
4 | ||
5 | 4 | |
6 | ||
10 | ||
20 | ||
30 | ||
40 | ||
50 | ||
60 | ||
70 |
It can be observed the function gives the only positive values roots. For the value 3 the value of the function is 0. This implies that all the previous values was making a negative radical in the root. And the calculation is unable to find the negative number root, as it is working in real numbers mode.
Therefore, the error is due to negative radicand.
b.
To determine: The explanation the relation between the
It is getting closed to
Given Information:
The equation is defined as,
Calculation:
Consider the given information,
Observed the given table.
It is be observed that as the value of x is increasing in the table the value of root is coming to closed to y -coordinate. But not equal to x -axis.
Hence, the value is getting closed to y -coordinate.
c.
To determine: The explanation that x - and y -coordinates will ever be equal.
They cannot be equal.
Given Information:
The equation is defined as,
Calculation:
Consider the given information,
0 | Error | |
1 | Error | |
2 | Error | |
3 | 0 | |
4 | ||
5 | 4 | |
6 | ||
10 | ||
20 | ||
30 | ||
40 | ||
50 | ||
60 | ||
70 |
It can be seen in the table the value of y coming closed to the x -axis. But the can never be equal.
For the all the real numbers.
Therefore, they cannot be equal.
d.
To determine: The equations of the asymptote of this hyperbola and verify your answer by drawing the complete graph.
The given statement has verify by the graph and the asymptote is
Given Information:
The equation is defined as,
Calculation:
Consider the given information,
Square the both side and simplify the obtained result.
The asymptote of the hyperbola is defined as
Now, draw the both the graph in same from.
Therefore, the given statement has verify by the graph and the asymptote is
Chapter 10 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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