sketch the curve. y = fraction {x}{x^2 - 16}

Question:

Sketch the curve.{eq}y = \dfrac{x}{x^2-16}. {/eq}

Graphing a Rational Function

Rational functions are those of the form {eq}f(x) = \dfrac{g(x)}{h(x)}, {/eq} in plain English they are a ratio of the other two functions. The domain and range of {eq}f, {/eq} will depend basically by these functions, so, to draw a graphic of a rational function, we need to pay attention to its characteristics.

Answer and Explanation:

Note that {eq}y=f(x) {/eq} is defined for all values {eq}x\in \mathbb{R} {/eq} except on the roots of {eq}g(x)=x^2-16, {/eq} and it happens when...

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Graphing & Analyzing Rational Functions

from Precalculus: High School

Chapter 13 / Lesson 2
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