a
To find : the domain of f.
a
Answer to Problem 118CR
R
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
Since,
Thus, domain of given function is set of all real numbers, that is domain of the function is R.
b
To decide : whether f is continuous..
b
Answer to Problem 118CR
Continuous
Explanation of Solution
Given function:
Calculation:
Since f is defined for all real numbers.
Therefore, function f is continuous.
c
To identify : any horizontal and vertical asymptotes.
c
Answer to Problem 118CR
No vertical asymptotes
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 no vertical asymptotes.
To find the horizontal asymptote, we note that the degree of the numerator is 2 and degree of the denominator is also 2. Since the degrees of numerator and denominator are same, therefore, the graph will have a horizontal asymptote at
Chapter 2 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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