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. What is a radical function?

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

5. Rational?

6. Graphs:

6.1. .

7. Radical Functions Vs. Rational Functions

8. Video:

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. Getting started

10.1. Radical?

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

10.2.1. This is a child idea

10.3. Radical and Rational Asymptotes

10.4. 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.

10.5. 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.

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

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

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

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

10.6.2.2. Set transitions for your slides

10.6.2.3. Click "Start Slideshow" to view your presentation

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

10.6.3.1. You can share your map with anyone via email

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

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