Online College Courses for Credit

EXPONENTIALS - Graphing Exponential Equations

EXPONENTIALS - Graphing Exponential Equations

Author: Kate Sidlo

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

See More

Try Our College Algebra Course. For FREE.

Sophia’s self-paced online courses are a great way to save time and money as you earn credits eligible for transfer to many different colleges and universities.*

Begin Free Trial
No credit card required

29 Sophia partners guarantee credit transfer.

311 Institutions have accepted or given pre-approval for credit transfer.

* The American Council on Education's College Credit Recommendation Service (ACE Credit®) has evaluated and recommended college credit for 27 of Sophia’s online courses. Many different colleges and universities consider ACE CREDIT recommendations in determining the applicability to their course and degree programs.



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

2) Draw your cornell line

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 answer ALL questions.

You must write ALL examples.


EXPONENTIALS - Graphing Exponential Equations


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