Exponential and Logarithmic Functions: Graphing Exponential Functions and Domain and Range

presentation Flashcards: Domain and Range of Exponential Functions

Use the flashcards below to practice finding domain and range of exponential functions. To flip the card, click on the card. Continue practicing this until you are comfortable with all of the cards. You may remove cards as you learn them and randomize the list for better practice.

Download the activity as a PDF.

 

Graphing Logarithmic and Exponential Function Using Graphing Calculator

***When you enter an exponential function in your calculator, parentheses must be put around any exponent that is a product or rational number.***
For example, if you type y = x2/3 as y = x^2/3, the calculator will read the function as y equals x squared divided by three.

Here are 2 examples of how an exponential function should be entered:


Function

Keystrokes in Calculator (y=)

f(x) = the quantity x squared plus two x plus three to the two-fifths power

y= (x2 + 2x + 3)^(2/5)

g(x) = the quantity three x plus two divided by the quantity two x minus one to the three-fifths power

y = (3x + 2)/(2x – 1)^(3/5)

 

Common Log (log) and Natural Log (ln) functions can be entered directly into the calculator as shown:

Try these two examples:

Function

Keystrokes in Calculator (y=)

f(x) = log(x2 – 4)

y= log(x2 – 4)

g(x) = ln(x + 3)4

y = ln(x + 3)^4

 

Solving Exponential and Log Equations Graphically

1.  Follow the simple steps above to graph the function.
2.  Enter “2nd” then “Calc” button
3.  Enter “roots” or “zeros” (Depends on your version of calculator)
4.  Enter the left and right bounds of the x-intercepts and hit Enter.
5.  The solutions to the equation will appear on the screen.

 

Review Icon Review Worksheet

Complete the review worksheet for this section before taking the quiz. Download the review worksheet, complete the questions, and then download the answer key to check your work. Make sure to ask your teacher any questions.