Concept explainers
- (a) To obtain the graph of g(x) = 2x − 1, we start with the graph of f(x) = 2x and shift it _____ (upward/downward) 1 unit.
- (b) To obtain the graph of h(x) = 2x−1, we start with the graph of f(x) = 2x and shift it to the _____ (left/right) 1 unit.
(a)
To fill: The direction of graph for
Answer to Problem 3E
The graph of
Explanation of Solution
The given exponential function of
Add a constant c in function
Add a constant to a function shifts its graph horizontally.
If c is positive then the graph will shifts upward by c unit at all points.
If c is negative then the graph will shifts downward by c unit at all points.
The given function of
Compare equation (1) and (2),
Since the value of c is
Hence, the graph of
(b)
To fill: The direction of graph for
Answer to Problem 3E
The graph of
Explanation of Solution
The given exponential function of
Add a constant c in function
Add a constant to a function shifts its graph vertically.
If c is positive then the graph will shift to the left by c unit at all points.
If c is negative then the graph will shift to the right by c unit at all points.
The given function of
Compare equation (1) and (2),
Since the value of c is
Hence, the graph of
Chapter 4 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
- 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