Rational Vs. Radical Functions

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

1. Radical Functions Vs. Rational Functions

2. What is a radical function?

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

3. What is a rational function?

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

5. Rational?

6. Graphs:

6.1. .

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

8. Real World Examples

8.1. Rational?

8.1.1. .

8.1.2. . Cost of living Medical Dosage Economic Production of Goods Radical?

9. Video:

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 Simply hold down COMMAND i.e. CTRL and Click & Drag to create a slide for one or multiple topics Set transitions for your slides 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 You can share your map with anyone via email You can publish your map and enable anyone with an internet access to find it You can embed your map on a blog or website