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IM Alg2.2.11 Lesson: Finding Intersections

Mentally identify a point where the graphs of the two functions intersect, if one exists.

and

and

and

and

For each pair of polynomials given, find all points of intersection of their graphs.

and

and

and

and

Find all points of intersection of the graphs of the equations

and .

Use graphing technology to check your solutions.

Consider the functions   and . Use graphing technology to find a value of  that makes  true.

For the -value at the point of intersection, what can you say about the value of ?

What does your answer suggest is a possible factor of ?

Write your own polynomial  of degree 3 or higher.

Use graphing technology to estimate the values of  that make  true.