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# EXPONENTIALS - Graphing Exponential Equations

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Author: Kate Sidlo
##### Description:

By the end of this tutorial the student will be able to graph an exponential equation by creating an x|y table and then plotting points.

In this tutorial students are shown how to graph exponential equations with the following steps:

1) Create an x|y table
2) Plot the points
3) Connect the points with a curve.

Students are shown these steps with three examples: y = 2^x, y = (1/2)^x, and y = 5(1+0.75)^x

(more)

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Tutorial

## TO DO:

1) Write the title from the first slide at the top of your page

3) Write the questions that appear at the top of the screen on the left side of the line

4) Answer each question on the right side

You must write ALL examples.

## VOCABULARY:

BASE: The term being multiplied by itself.  BIG term

CONSTANT MULTIPLIER: The sum of 1 and the rate of change in an exponential equation.

DECAY: A decreasing exponential equation; constant multiplier < 1

EXPANDED FORM: An exponential term written out with repeated multiplication

EXPONENT: A superscript notation that denotes the number of times a base is multiplied by itself

EXPONENTIAL EQUATION: (for growth or decay) y = A(1 + r)x, where A is the starting value, r is the rate of change, and x is the term or time

EXPONENTIAL FORM: An exponential term written with a base and an exponent (optional: coefficient)

GROWTH: An increasing exponential equation; constant multiplier > 1

RATE OF CHANGE: The percent/decimal of increase or decrease from term to term in an exponential equation

SHALLOW: A low slope, typically where the rise < run

STEEP: A tall slope, typically where the rise > run