Chapter 4: Q. 7 (page 224)

If, as x approaches some number c, the values of $|R (x)| \to \infty$ , then the line $x = c$ is a _ of the graph of R.

Short Answer

Expert verified

If, as x approaches some number c, the values of $|R (x)| \to \infty$ ,then the line $x = c$ is a Vertical Asymptote of the graph of R.

Step by step solution

Step 1. Definition

Vertical Asymptote

A vertical Asymptote is a horizontal line to which a graph of a function approaches as $|f (x)| \to \infty$ but the graph of the function never touches that line.

Step 2. clarification

vertical Asymptote is a vertical line that represents the zero of the denominator of a rational function so a graph of function approach toward it as $|f (x)| \to \infty$ but never touch it.

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If, as x approaches some number c, the values of $|R (x)| \to \infty$ , then the line $x = c$ is a _ of the graph of R.

Short Answer

Step by step solution

Step 1. Definition

Step 2. clarification

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If, as x approaches some number c, the values of R(x)→∞, then the line x=c is a ________ _________ of the graph of R.

Short Answer

Step by step solution

Step 1. Definition

Step 2. clarification

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

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Study anywhere. Anytime. Across all devices.

If, as x approaches some number c, the values of $|R (x)| \to \infty$ , then the line $x = c$ is a _ of the graph of R.