Concept explainers
To draw: the graph of given function
![Check Mark](/static/check-mark.png)
Answer to Problem 105E
There is no symmetry in the graph of function.
x- intercept: - (-1, 0), (3, 0), (4.5, 0). So, number of x-intercept is 3.
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:- By using above definition, we marked a point (5, 14.4) on graph but (-5, 14.4) is not present on graph so curve is not symmetric about x-axis.
- About y-axis: - similarly, we can show function is not symmetric about y-axis.
- About origin: - similarly, (-5, -14.4) is not present on graph. So function is not symmetric about origin.
X-intercept: - using graph we can see graph of function cuts the x-axis at (-1, 0), (3, 0), (4.5, 0).
So, number of x-intercept is 3.
Chapter 2 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
- Find the equation of the tangent line to the graph of the given function at the given value of x. 6 f(x) = x(x² - 4x+5)*; x=2arrow_forwardFind the equation of the tangent line to the graph of the given function at the given value of x. f(x)=√√x+33; x=4arrow_forwardFind g[f(-7)]. f(x) = x² + 1; g(x)=-5x-1arrow_forward
- 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
![Text book image](https://www.bartleby.com/isbn_cover_images/9781285741550/9781285741550_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780134438986/9780134438986_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780134763644/9780134763644_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781319050740/9781319050740_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780135189405/9780135189405_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781337552516/9781337552516_smallCoverImage.gif)