Current Attempt in Progress Assume that all important features are shown in the graph of y = f(x) and that the point (0, 6) is a point on the graph. y 42 30 18 6 -6 -18 -30+ Estimate the following. Enter your answers to the nearest integer. (a) lim f(x) = i (b) limf(x) = i

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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### View Policies

## Current Attempt in Progress

**Assume that all important features are shown in the graph of \( y = f(x) \) and that the point \( (0, 6) \) is a point on the graph.**

The graph presented displays the function \( f(x) \) with the following key features:

- The point \( (0, 6) \) is explicitly labeled on the graph.
- The vertical axis (y-axis) is labeled with values at regular intervals: \( 42, 30, 18, 6, -6, -18, \) and \( -30 \).
- The horizontal axis (x-axis) is centered at \( x = 0 \) with no specific numerical labels, suggesting that the graph extends towards both positive and negative infinity along the horizontal direction.

In terms of the curve's behavior:
- As \( x \) approaches positive infinity (\( +\infty \)), the function values \( f(x) \) appear to decrease and asymptotically approach a horizontal value.
- Similarly, as \( x \) approaches negative infinity (\( -\infty \)), the function values \( f(x) \) rise and seem to level off at another horizontal value.

**Estimate the following:**

**Enter your answers to the nearest integer.**

\( (a) \lim_{{x \to \infty}} f(x) = \) [ ]

\( (b) \lim_{{x \to -\infty}} f(x) = \) [ ]
Transcribed Image Text:### View Policies ## Current Attempt in Progress **Assume that all important features are shown in the graph of \( y = f(x) \) and that the point \( (0, 6) \) is a point on the graph.** The graph presented displays the function \( f(x) \) with the following key features: - The point \( (0, 6) \) is explicitly labeled on the graph. - The vertical axis (y-axis) is labeled with values at regular intervals: \( 42, 30, 18, 6, -6, -18, \) and \( -30 \). - The horizontal axis (x-axis) is centered at \( x = 0 \) with no specific numerical labels, suggesting that the graph extends towards both positive and negative infinity along the horizontal direction. In terms of the curve's behavior: - As \( x \) approaches positive infinity (\( +\infty \)), the function values \( f(x) \) appear to decrease and asymptotically approach a horizontal value. - Similarly, as \( x \) approaches negative infinity (\( -\infty \)), the function values \( f(x) \) rise and seem to level off at another horizontal value. **Estimate the following:** **Enter your answers to the nearest integer.** \( (a) \lim_{{x \to \infty}} f(x) = \) [ ] \( (b) \lim_{{x \to -\infty}} f(x) = \) [ ]
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