<=> Relations and Functions Tutorial <=>

2.1 Functions and Their Graphs

- Given a graph, be able to tell whether the graph is a function or non-function (vertical line test)

A.

No vertical line can be drawn, therefore it is a function.

B.

A vertical line can be drawn, therefore it is not a function.

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- Given a table of values, be able to tell whether the graph is a function or non-function.

x-axis=input, y-axis=output

A.

None of the inputs occupy more than one putput, therefore it is a function.

B.

At least one of the inputs (4) occupy more than one output (-2), (0), therefore it is not a function.

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- Given an equation, be able to tell whether the graph is a function or non-function.

A. Graph 2x+3 B. Graph x^2-3x+4

I. Make a value table using x as a value and evaluating y for the answer.

To find the values:

ex. x=0
y=(2*0)+3
y=0+3
y=3

A.

B.



II. Create a graph with the plotted points. Connect the points using a line.

A.

A straight line is drawn, therefore it is a function.

B.

A line with curves is drawn, therefore it is not a function.

Functions must follow the equation format y=mx+b A. 2x+3 :) B. x^2-3x+4 :(

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Congratulations for reaching the end of this tutorial! Now, here are some practice problems.

Are these functions or non-functions? (Yes/No)

1.)

2.)

3.)

4.)

5.) x+2 (Graph the equation)

6. 3x-1 (Graph the equation)