a
To find : the domain of f.
a
![Check Mark](/static/check-mark.png)
Answer to Problem 114CR
Explanation of Solution
Given function:
Calculation:
Domain of a function f(x) is set of values of x for which the function f(x) is defined.
The given function f(x) is defined for all real values of x for which the denominator of the function f(x) is non-zero.
By setting denominator of function f(x) equal to 0, we get
Thus, domain of given function is set of all real numbers except
b
To decide : whether f is continuous..
b
![Check Mark](/static/check-mark.png)
Answer to Problem 114CR
Not continuous
Explanation of Solution
Given function:
Calculation:
Since f is defined at the points
Therefore, function f is not continuous.
c
To identify : any horizontal and vertical asymptotes.
c
![Check Mark](/static/check-mark.png)
Answer to Problem 114CR
Vertical asymptotes at
Horizontal asymptotes at
Explanation of Solution
Given function:
Calculation:
The vertical asymptotes occur at those values of x for which denominator is equal to zero.
Since denominator is zero for
Therefore, graph of given function have vertical asymptotes at
To find the horizontal asymptote, we note that the degree of the numerator is 0 and degree of the denominator is also 2. Since the degrees of numerator is less than degree of denominator, therefore, the graph will have a horizontal asymptote at
Chapter 2 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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