Exploring Functions and the Vertical Line Test

The video tutorial covers the basics of functions and graphs, explaining how to identify functions using the vertical line test. It discusses different ways to represent functions, such as tables, graphs, and equations. The tutorial also provides examples of identifying functions and filling out function tables using linear equations.

What is the vertical line test used for?

• To identify the x-intercept of a graph

• To find the slope of a line

• To determine if a graph is a function

• To calculate the area under a curve

In a function, what is the relationship between inputs and outputs?

• Inputs and outputs are unrelated

• Each input has exactly one output

• Each output has multiple inputs

• Each input has multiple outputs

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CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Why is the relation where 'blue' corresponds to both 'sky' and 'ocean' not a function?

• Because it uses colors

• Because there are no numbers

• Because the outputs repeat

• Because the inputs repeat

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CCSS.8.F.A.1

Which of the following is true about functions represented in tables?

• Inputs cannot repeat

• Inputs can repeat

• Both inputs and outputs can repeat

• Outputs cannot repeat

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CCSS.8.F.A.1

How can functions be represented?

• Only as graphs

• Only as equations

• As tables, graphs, and equations

• Only as tables

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CCSS.8.F.A.1

CCSS.HSF.IF.A.1

What does a linear function look like on a graph?

• A curved line

• A straight line

• A dotted line

• A zigzag line

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CCSS.8.F.B.4

CCSS.HSF.LE.A.2

What does the vertical line test check for on a graph?

• If the graph is a straight line

• If any vertical line intersects the graph more than once

• If the graph has a slope

• If the graph has an x-intercept

If a vertical line intersects a graph at two points, what does it indicate?

• The graph is linear

• The graph has a slope

• The graph is a function

• The graph is not a function

What is the start value in the linear equation y = 3x - 2?

• 3

• y

• x

• -2

In the function table, if x = 1 and the equation is y = 3x - 2, what is y?

• 2

• 0

• 3

• 1

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CCSS.8.F.A.1

CCSS.HSF.IF.A.1