Rational Vs. Radical Functions

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Rational Vs. Radical Functions by Mind Map: Rational Vs. Radical Functions

1. The graph has a numerator and denominator that are polynomials.

2. What is a rational function?

3. a rational function is any function that can be defined by a rational fraction. Such that both the numerator and the denominator are polynomials.

4. Video:

5. Rational?

6. Graphs:

6.1. .

7. What is a radical function?

7.1. A radical function contains a radical expression with a variable in the radicand.

8. Getting started

8.1. Radical?

8.2. As you can see, the function has a radical in it.

8.2.1. This is a child idea

8.3. Radical and Rational Asymptotes

8.4. If both polynomials are the same degree, divide the coefficients of the highest degree terms. If the polynomial in the numerator is a lower degree than the denominator, the x-axis (y = 0) is the horizontal asymptote.

8.5. The curves approach these asymptotes but never cross them. To find the vertical asymptote(s) of a rational function, simply set the denominator equal to 0 and solve for x.

8.6. Radical and Rational asymptotes are the same when looking at their graphs.

8.6.1. Open the Theme menu from the bottom of your map editor to change your map theme

8.6.2. Create a presentation of your mind map by clicking the presentation icon in the bottom left corner of your screen

8.6.2.1. Simply hold down COMMAND i.e. CTRL and Click & Drag to create a slide for one or multiple topics

8.6.2.2. Set transitions for your slides

8.6.2.3. Click "Start Slideshow" to view your presentation

8.6.3. Open the Sharing Settings from the bottom of your map editor to share the map with a friend or publish it to the web

8.6.3.1. You can share your map with anyone via email

8.6.3.2. You can publish your map and enable anyone with an internet access to find it

8.6.3.3. You can embed your map on a blog or website

9. Real World Examples

9.1. Rational?

9.1.1. .

9.1.2. .

9.1.2.1. Cost of living Medical Dosage Economic Production of Goods

9.1.2.1.1. Radical?

10. Radical Functions Vs. Rational Functions