To sketch the function
![Check Mark](/static/check-mark.png)
Answer to Problem 30E
Explanation of Solution
Given:
Function:
Calculation for graph:
Consider
Values of x | Values of g(x) |
0 | -1.666 |
1 | -2.5 |
-1 | -1.25 |
2 | -5 |
-2 | -1 |
By taking different values of x, the graph can be plotted.
Graph:
Calculation:
Intercepts:
Let
To find x intercepts, put y = 0,
Here, the answer is wrong. It means that, the given function does not have x intercepts.
To find y intercepts, put x = 0,
So, y intercept is (0, -1.666).
Asymptotes:
Vertical asymptotes:
To find vertical asymptotes, put denominator of the given function equal to zero.
Horizontal asymptotes:
As the degree of numerator is less than the degree of the denominator, the horizontal asymptote is
Holes:
Here, the given function contains on
common factor in numerator and denominator i.e.,
To find hole of the function, equate common factor equal to zero.
So, the hole of function is
Chapter 2 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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