Exploring Adding and Subtracting Rational Expressions

This video tutorial teaches how to graph functions using tables. It covers various equations, demonstrating how to choose X values, calculate corresponding Y values, and plot them on a graph. The tutorial emphasizes the use of a straightedge for accuracy and provides step-by-step instructions for graphing equations like X + 5 = Y, Y = X - 1, and Y = -3/2X. It also highlights common mistakes and offers tips for selecting values, especially when dealing with fractions or negative numbers.

What is the first step in graphing functions using a table?

• Drawing the graph

• Choosing the graph type

• Selecting X values within the graphing window

• Calculating the slope

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CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What tool is recommended for creating straight lines on the graph?

• A compass

• A protractor

• A straightedge

• A calculator

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CCSS.4.G.A.1

CCSS.HSG.CO.A.1

In the equation Y = X + 5, what is Y when X is -1?

• 6

• 5

• 4

• 3

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CCSS.8.F.A.1

CCSS.HSF.IF.A.1

How do you graph the equation Y = -X?

• Plot all values as positive

• Plot positive X values as negative Y values

• Only use X values from 0 to 10

• Ignore negative X values

What is the result of Y = 3X - 7 when X = 2?

• -1

• 2

• 13

• -7

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CCSS.HSF.IF.A.2

What does Y equal in the equation Y = -1/3X + 2 when X = -6?

• 4

• 2

• 0

• 3

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CCSS.HSF.IF.A.2

For the equation Y = 5X + 2, what is Y when X = 1?

• 3

• 10

• 7

• 5

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CCSS.8.F.A.1

CCSS.HSF.IF.A.1

In the function Y = -2X - 4, what does Y equal when X = -5?

• 0

• -14

• 6

• 10

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CCSS.HSF.IF.A.2

What is the correct graphing result for Y = -4X + 5 when X = 1?

• 0

• -3

• 1

• 9

How should you extend the graph beyond the plotted points?

• Not at all

• Randomly

• Only vertically

• As per the slope direction

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CCSS.HSF-IF.C.7A