Graphing Exponential Functions (Learn Algebra 2)

Learn how to graph exponential functions in this video by Mario's Math Tutoring. We discuss the parent function as well as a general equation for graphing exponential functions. We discuss how to find the horizontal asymptote in addition to how to tell whether a function is growth or decay. We also look at the exponential growth model and exponential decay model and how to apply it in a word problem. Lastly we discuss the formula for calculating compound interest.

Jump to section of this video:

0:07 Form of an exponential function.
0:18 How to identify the y-intercept and whether the function is growth or decay.
1:12 Example a Graph y=2(3)^x by making a table.
2:46 How to find the domain and range of the exponential function
3:46 More general form of the exponential function
4:37 Example b graph y=2(3)^(x+1) - 3
6:04 Exponential Growth/Decay Model
7:17 Example c Depreciating car 20% per year,
8:04 Compound Interest Formula
9:14 Example d Compound interest example compounded monthly
11:33 Example 1 Graph y=(1/2)(2)^x State Domain & Range
13:03 Example 2 Graph y=-3(1/2)^x
14:29 Example 3 Graph y=4^(x-2) + 2
16:15 Example 4 Graph y=2(1/3)^(x+3) - 1
17:51 Example 5 Exponential Growth Model word problem
18:47 Example 6 Compound Interest Word Problem

Related YouTube Videos to Help You:

What is Decay Factor, Decay Rate, Growth Factor, Growth Rate?

Exponential Equations Given a Table

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[thedeathofbirth]

I do not understand how you only have 617 viewers! You explain so clearly and briantly. You do not repeat yourself for the student to doze off and miss something important in the white noise many teachers make. You are simply brilliant. You ought to find a way to advertise so that millions of students can use your knowledge. If I have a problem or want to refresh my memory I always refer to your videos. Thank you for taking the time to make these.

[BoZhaoengineering]

Remember I was in high school, the function graph with transformation always was a nightmare for me. My lecture taught this topic as a disaster.

[qwertyuiqwertyui]

What if i have the graph and data, but want to find out the equation, please help :'(

[FirstLast-jmdx]

Is there a systematic approach to doing the reverse? That's given two points, to find the exponential function that contains those two points? Challenge questions on my kid's Algebra 1 homework.

[Organelles]

Hey Mario, I've been going over some of your videos to help refresh my understanding of some general topics for my Calculus class. You explain things so perfectly, it makes it a pleasure to learn. I just want to say thank you; you're helping some people much more than you realize. All the best, my friend.

[striker.]

Thank you so much!!! I've got a test tomorrow over this and a few other subjects.

[renubala]

Thnkuuu so much for explaining as simple as possible ... I spent 2 hrs just understanding what's what . 🙆🏻‍♀️but you simplified everything in just 20 min .

[nathanadams]

I’m in algebra one and they are teaching us this is hard I got a 50 on my test

[Rayanisno.okd]

WOW TWO IN ONE COMPOUND INTEREST AND GRAPHING EXPONENTIAL FUNCTIONS ONCE AGAIN TYSSMMM

[kanishksrivastava]

Thank you so much Mario this helped me a lot