The graph of each pair of functions intersect. Find the points of intersection without using a calculator. (Hint: Solve as a system using substitution.)
Point of intersections -
Given:
The equation is,
Concept Used:
- The substitution method can be defined as a way to solve a
linear system algebraically. - The substitution method works by substituting one y-value with the other. To put it simply, the method involves finding the value of the x-variable in terms of the y-variable.
Calculation:
Use Substitution method:
The equation is,
Use
Substitute each value of x into either equation. Solve for y.
For x=2
For x=-1
Thus, the point of intersection is-
Chapter 4 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