a.
To Graph: The equation
The required graph is draw as following,
Given Information:
The equation is defined as,
Explanation:
Consider the given information,
Make the tables by using the value of
16 | ||
8 | ||
Now, draw the graph.
Therefore, the required graph is drawn above.
b.
To determine: The explanation about the conic section from the equation.
The required conic section is hyperbola.
Given Information:
The equation is defined as,
Explanation:
Consider the given information,
Refer the graph of the previous part (a).
Observed the above graph, the graph is showing the hyperbolic function graph.
Hence, the obtained conic is hyperbola.
c.
To calculate: The intercepts and lines of the symmetry of the given equation.
The symmetry lines are
Given Information:
The equation is defined as,
Calculation:
Consider the given information,
Refer the graph of the equation. As it can be seen that the graph is not cutting any axis in the graph. This implies that the intercepts of the equation does not exist.
As hyperperbola two lines of symmetry, from the above graph the centre of the hyperbola is origin. This implies the lines of the symmetry are
Therefore, the symmetry lines are
d.
To determine: The explanation that the graph is representing a function also write the equation using function notation.
The graph is representing the function and the function notation is
Given Information:
The equation is defined as,
Calculation:
Consider the given information,
From the graph, each point have the own values. There is no two values which have two values. So, the given graph is representing the function.
Therefore, the graph is representing the function and the function notation is
Chapter 10 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education