Solving Equations with Tables and Graphs

This video tutorial covers the use of tables and graphs to solve equations, focusing on finding points where two functions are equal. The instructor demonstrates using Desmos to graph functions and find intersection points, including exponential functions. The video also explains how to determine the closest decimal values for graph intersections and verify solutions by plotting points. The tutorial concludes with a final example and summary of the methods discussed.

What is the main topic discussed in this video?

• Learning about trigonometry

• Understanding tables and graphs

• Solving linear equations

• Exploring calculus concepts

What is the first step in solving the quadratic equation x^2 - 8 = x + 4?

• Adding x to both sides

• Subtracting x and 4 from both sides

• Multiplying both sides by 2

• Dividing both sides by x

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CCSS.HSA-REI.B.4B

What method is used to solve the quadratic equation in the video?

• Completing the square

• Using the quadratic formula

• Factoring

• Graphing

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CCSS.HSA-REI.B.4B

What is the zero product property used for in solving quadratic equations?

• To multiply solutions

• To add solutions

• To divide solutions

• To set each factor equal to zero

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CCSS.HSA-REI.B.4B

Which tool is used to graph functions and find points of intersection?

• Google Sheets

• Desmos

• Wolfram Alpha

• Excel

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the x-value where the functions 2e^x + 1 and (1/2)e^x + 5/2 intersect?

• x = 0

• x = 2

• x = -1

• x = 1

How do you determine the closest decimal value to a point on a graph?

• By using a calculator

• By estimating visually

• By zooming in on Desmos and clicking the point

• By using a ruler

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CCSS.HSF-IF.C.7E

What is the closest fraction to the decimal value -0.938?

• -13/16

• -7/8

• -15/16

• -1

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CCSS.7.NS.A.2D

CCSS.8.NS.A.1

Which of the following points is on the graph of y = 2^x?

• (-1, 1)

• (0, 2)

• (3, 8)

• (4, 16)

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CCSS.HSF-IF.C.7E

What should you do if you have multiple terms in the exponent while using Desmos?

• Use quotation marks

• Use curly braces

• Use brackets

• Use parentheses

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CCSS.HSF.IF.A.2