
Concept explainers
a)
To graph: The equation
Given Information:
The equation
Graph:
The graph of
Figure 1
b)
To confirm: Algebraically that
Given Information:
The equation
Concept Used:
Zeroes of any equation is obtained by equating the equation to 0 and simplifying for the values of x.
Calculation:
Equate
Thus, by the zero product rule, either
Therefore,
c)
To graph: The equation
Given Information:
The equation
Graph:
The graph of
Figure 2
d)
To confirm: Algebraically that
Given Information:
The equation
Concept Used:
Zeroes of any equation is obtained by equating the equation to 0 and simplifying for the values of x.
Calculation:
Equate
Thus, by the zero product rule, either
Now, find the discriminant of
Since the discriminant is negative it implies no real solutions of
Thus,
Therefore,
e)
To graph: The equation
Given Information:
The equation
Graph:
The graph of
Figure 3
f)
To confirm: Algebraically that
Given Information:
The equation
Concept Used:
Zeroes of any equation is obtained by equating the equation to 0 and simplifying for the values of x.
Calculation:
Equate
Thus, by the zero product rule, either
So,
Now, find the discriminant of
Since the discriminant is positive it implies there are two roots/zeroes of
Therefore,
Chapter 1 Solutions
EBK PRECALCULUS:GRAPHICAL,...-NASTA ED.
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