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Intersection of Functions and Solutions

Intersection of Functions and Solutions

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Ethan Morris

FREE Resource

The video tutorial explains how to find the solution point for a system of equations by identifying the x value where two functions intersect. It guides the viewer through the process of determining where f(x) equals g(x) using a table of values. The solution is found at x = 1, where both functions have a y value of 1.

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5 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the solution point in a system of equations?

The point where the functions do not intersect

The point where the x-values are different

The point where the y-values are different

The point where the x-value results in the same y-value for both functions

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does it mean when f(x) equals g(x) in a system of equations?

The functions are parallel

The functions intersect at a point

The functions have no solution

The functions are identical

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

At what x-value do the functions f(x) and g(x) intersect in the given example?

x = 0

x = 2

x = 1

x = 3

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the y-value of both functions at the solution point x = 1?

y = 3

y = 2

y = 0

y = 1

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many solution points are there in the given table where f(x) equals g(x)?

Three

Two

None

One

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