Like what you saw?
Create FREE Account and:
- Watch all FREE content in 21 subjects(388 videos for 23 hours)
- FREE advice on how to get better grades at school from an expert
- Attend and watch FREE live webinar on useful topics
Exponential Functions - Problem 3
PhD. in Mathematics
Norm was 4th at the 2004 USA Weightlifting Nationals! He still trains and competes occasionally, despite his busy schedule.
We are graphing exponential functions today and here is an example; graph y equals the cube root of 2 to the x. Now, I don’t like the look of root cube root of 2, I want to make this look easier. So I’m going to use the properties of exponents to write this in a different way.
The cube root of 2 is the same as 2 to the 1/3 power. So I have 2 to the 1/3 to the x. I use the parallel power property of exponents, and I get 2 to the x over 3, much easier to graph. So I’m going to graph y equals 2 to the x over 3. Let me make a quick table.
Now here, when I choose values of x to plug in, I’m going to chose multiples of 3. The arithmetic is going to be the easiest so I’m going to chose numbers like -3, 0, 3, 6. When I plug in -3 I get 2 to the -3 over 3, 2 to the -1, which is 1/2. When I plug in 0, I get 2 to the 0 over 3, 2 to the 0 which is 1. When I plug in 3, I get 2 to the 3 over 3 to the 1 which is 2. And plugging in 6, I get 2 to the 6 over 3, 2²,4. So I got four points I’m going to plot these and draw my curve.
(-3,1/2) right here (0,1), (3,2), (6,4) and now I connect these with a nice smooth curve. And there we have it; y equals cube root of 2 to the x power.
Stuck on a Math Problem?
Ask Genie for a step-by-step solution
Please enter your name.
Are you sure you want to delete this comment?
Sample Problems (5)
Need help with a problem?
Watch expert teachers solve similar problems.