Concept explainers
a
The domain of f.
a

Answer to Problem 115CR
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 7, that is domain of the function is
b
To decide : whether f is continuous ..
b

Answer to Problem 115CR
Not continuous
Explanation of Solution
Given function:
Calculation:
Since f is defined at the point
Therefore, function f is not continuous.
c
To identify: Any horizontal and vertical asymptotes.
c

Answer to Problem 115CR
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 1 and degree of the denominator is also 1. 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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