Concept explainers
To draw: the graph of given function
Answer to Problem 106E
There is no symmetry in the graph of function.
x- intercept: - (-4, 0), (0.8, 0). So, number of x-intercept is 2.
Explanation of Solution
Given information: given function is
Concept Used: -
Symmetry about x-axis: - A graph is symmetric about x-axis if (x, y) lies on graph than (x, -y) also lies on graph of function.
Symmetry about y-axis: - A graph is symmetric about y-axis if (x, y) lies on graph than (-x, y) also lies on graph of function.
Symmetry about origin: - A graph is symmetric about origin if (x, y) lies on graph than
(-x, -y) also lies on graph of function.
X-intercept: - The point, where graph of function cuts the x-axis.
Calculation:-
Now, using graph we check symmetries-
- About x-axis:- using graph we can see no part of graph is present on the other side of x-axis. So function is not symmetric about x-axis.
- About origin: function is not symmetric about origin, by using graph it can be seen.
- About y-axis: - Although graph is looking symmetric about y-axis but 1st check vertex. Vertexes of function on graph are on different distances from origin. And no point presented on the right side of y-axis on graph is present on left side of y-axis. So function is not symmetric about y-axis.
- X-intercept: - using graph we can see graph of function cuts the x-axis at (-4, 0), (0.8, 0). So, number of x-intercept is 2.
Chapter 2 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
- 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