Graphing Functions: Notes and Examples

The video tutorial covers graphing linear equations by representing them with ordered pairs and graphs. It begins with an introduction to linear equations, explaining how solutions form a straight line on a coordinate plane. The tutorial includes examples, such as using the equation y=3x to graph the relationship between time and photos printed. It also demonstrates checking solutions for the equation y=2x+6 and graphing using a function table. The video emphasizes understanding ordered pairs and plotting them on a coordinate plane to form a straight line.

What is a linear equation?

• An equation that cannot be graphed.

• An equation with only one variable.

• An equation whose solutions form a straight line on a coordinate plane.

• An equation that forms a curve on a graph.

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CCSS.8.F.A.3

In the equation y = 3x, if x = 2, what is the value of y?

• 3

• 6

• 12

• 9

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CCSS.8.F.A.1

CCSS.HSF.IF.A.1

If you plot the points (1, 3), (2, 6), and (3, 9) on a graph, what type of line do they form?

• A horizontal line

• A straight line

• A zigzag line

• A curved line

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CCSS.HSF-IF.C.7A

Which of the following ordered pairs is a solution to the equation y = 2x + 6?

• (4, 12)

• (3, 9)

• (1, 8)

• (2, 10)

If y = 2x + 6, what is the value of y when x = 5?

• 10

• 12

• 14

• 16

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CCSS.HSF.IF.A.2

Which of the following points is a solution to the equation y = 2x + 6?

• (3, 12)

• (2, 8)

• (4, 14)

• (1, 7)

In the function table, if x = 0 and the equation is y = x - 3, what is the value of y?

• -1

• 3

• 0

• -3

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CCSS.8.F.A.1

CCSS.HSF.IF.A.1

For the equation y = x - 3, what is the ordered pair when x = 2?

• (2, -3)

• (2, 3)

• (2, -1)

• (2, 1)

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CCSS.8.F.A.1

CCSS.HSF.IF.A.1

What is the ordered pair for x = 3 in the equation y = x - 3?

• (3, 0)

• (3, -3)

• (3, 3)

• (3, -1)

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CCSS.6.EE.C.9

Which of the following points is not on the line y = x - 3?

• (0, -3)

• (3, 1)

• (1, -2)

• (2, -1)

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CCSS.HSF.IF.A.1