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
PRECALCULUS:GRAPH...-NASTA ED.(FLORIDA)
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning
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