Lesson: Intersection Points of Two Functions Mathematics

In this lesson, we will learn how to use a graphical or algebraic approach to solve systems of equations where one or both are nonlinear functions to find the intersection point of two functions.

Lesson Video

Lesson Worksheet

Q1:

Find the set of points of intersection of the graphs of and .

Q2:

Answer the following questions for the functions and .

Complete the table of values for .

Use the tables of values to determine an intersection point of the two graphs.

By extending the table up to , check if there are other intersection points. If so, find their coordinates.

Q3:

Answer the following questions.

Determine the equation of the line that passes through the points (2, 0) and (1, 2).

Determine the equation of the line that passes through the points and .

Hence, do the two lines intersect? If yes, state the point of intersection.