Chapter 4: Q. 6 (page 224)

If,as $x \to - \infty$ or as $x \to \infty$ . the values of $R (x)$ approach some fixed number L, then the line $y = L$ is a _ __ of the graph of R.

Short Answer

Expert verified

If, as $x \to - \infty$ or as $x \to \infty$ , the values of $R (x)$ approach some fixed number L, then the line $y = L$ is a Horizontal Asymptote of the graph of R.

Step by step solution

Step 1. Definition

Horizontal Asymptote

A horizontal Asymptote is a horizontal line to which a graph of a function approaches as $x \to \infty o r x \to - \infty$ but the graph of the function never touches that line.

Step 2. clarification

The Line $y = L$ will be a Horizontal Asymptote of function $R (x)$ if as $x \to - \infty$ or $x \to \infty$

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If,as $x \to - \infty$ or as $x \to \infty$ . the values of $R (x)$ approach some fixed number L, then the line $y = L$ is a _ __ of the graph of R.

Short Answer

Step by step solution

Step 1. Definition

Step 2. clarification

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If,asx→-∞or as x→∞. the values ofR(x) approach some fixed number L, then the liney=L 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

Calculus

Theoretical and Mathematical Physics

Statistics

Pure Maths

Applied Mathematics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

If,as $x \to - \infty$ or as $x \to \infty$ . the values of $R (x)$ approach some fixed number L, then the line $y = L$ is a _ __ of the graph of R.