a.
State the domain of the function.
a.
Answer to Problem 37E
Explanation of Solution
Given information:
State the domain of the function.
Calculation:
Consider the function.
Now factorize the function,
Since the denominator vanishes for
Hence, the solution is,
b.
Identify all intercepts.
b.
Answer to Problem 37E
Explanation of Solution
Given information:
Identify all intercepts.
Calculation:
Consider the function.
When
When
Since the intercepts are
Hence, the solution is
c.
Find any vertical or horizontal asymptotes.
c.
Answer to Problem 37E
Explanation of Solution
Given information:
Find any vertical or horizontal asymptotes.
Calculation:
Consider the function.
Horizontal Asymptote:
When degree of numerator and denominator are equal the graph of the function has the line
So the horizontal asymptote is
Vertical asymptote:
Set the denominator as zero and solve the resulting equation. As we know that common factor is
Hence, the solution is
d.
Find any vertical or horizontal asymptotes.
d.
Answer to Problem 37E
Explanation of Solution
Given information:
Plot additional solution points as needed to sketch the graph of the rational function.
Calculation:
Consider the function.
Give values for
Hence, the solution is, graph.
Chapter 2 Solutions
EBK PRECALCULUS W/LIMITS
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