To sketch the function
![Check Mark](/static/check-mark.png)
Answer to Problem 48E
Explanation of Solution
Given:
Function:
Calculation for graph:
Consider
Values of x | Values of g(x) |
0 | Undefined |
1 | 0 |
-1 | 0 |
2 | -1.5 |
-2 | 1.5 |
By taking different values of x, the graph can be plotted.
Graph:
Calculation:
Intercepts:
Let
To find x intercepts, put y = 0,
So, the x intercepts are (1, 0) and (-1, 0).
To find y intercepts, put x = 0,
So, there are no y intercepts for given function.
Asymptotes:
Vertical asymptotes:
To find vertical asymptotes, put denominator of the given function equal to zero.
Horizontal asymptotes:
As the degree of numerator is larger than the degree of the denominator, the horizontal asymptote does not exist for given function.
Slant asymptotes:
To find slant asymptote, divide given function numerator with denominator using long division.
Dividend:
Divisor:
Here, quotient is
So, the slant asymptote is
Chapter 2 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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