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The graph of y = f(x) is graphed below. What is the end behavior of f(x)? -10-9-8-7 -6 -5 -4 3-2-1 -5880 -11760 -17640 -23520 -29400 -35280 -41160 -47040 y 47040 41160 35280 29400 23520 17640 11760 5880 - 1 2 3 Submit Answer 45 as x→∞, y → ∞ and as x →∞, y →→∞ 7 8 9 10 as x → ∞, y → →∞ and as x → ∞, y →∞ as x → →∞, y → ∞ and as x → ∞, y →∞ - as x →→∞, y → − ∞ and as x → ∞, y →∞

The graph of y = f(x) is graphed below. What is the end behavior of f(x)? -10-9-8-7 -6 -5 -4 3-2-1 -5880 -11760 -17640 -23520 -29400 -35280 -41160 -47040 y 47040 41160 35280 29400 23520 17640 11760 5880 - 1 2 3 Submit Answer 45 as x→∞, y → ∞ and as x →∞, y →→∞ 7 8 9 10 as x → ∞, y → →∞ and as x → ∞, y →∞ as x → →∞, y → ∞ and as x → ∞, y →∞ - as x →→∞, y → − ∞ and as x → ∞, y →∞

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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What is the end behavior of f(x)

### End Behavior of a Function **Question:** The graph of \( y = f(x) \) is graphed below. What is the end behavior of \( f(x) \)? **Graph Description:** The graph is plotted on a grid with \( y \) values ranging from -47040 to 47040 and \( x \) values ranging from -10 to 10. It shows the curve of a function \( f(x) \). The graph has multiple peaks and valleys but eventually tends downwards on the left side (as \( x \) approaches \(-\infty\)) and downwards on the right side (as \( x \) approaches \( \infty \)). **End Behavior Options:** - \( \boxed{\ \ } \) **as** \( x \to -\infty \), \( y \to \infty \) **and as** \( x \to \infty \), \( y \to -\infty \) - \( \boxed{\ \ } \) **as** \( x \to -\infty \), \( y \to -\infty \) **and as** \( x \to \infty \), \( y \to \infty \) - \( \boxed{\ \ } \) **as** \( x \to -\infty \), \( y \to \infty \) **and as** \( x \to \infty \), \( y \to \infty \) - \( \boxed{\ \ } \) **as** \( x \to -\infty \), \( y \to -\infty \) **and as** \( x \to \infty \), \( y \to -\infty \) **Submit Answer** Remember to carefully observe the direction in which the function moves as \( x \) heads towards \(\pm \infty\). This will help determine the correct end behavior of \( f(x) \).
Transcribed Image Text:### End Behavior of a Function **Question:** The graph of \( y = f(x) \) is graphed below. What is the end behavior of \( f(x) \)? **Graph Description:** The graph is plotted on a grid with \( y \) values ranging from -47040 to 47040 and \( x \) values ranging from -10 to 10. It shows the curve of a function \( f(x) \). The graph has multiple peaks and valleys but eventually tends downwards on the left side (as \( x \) approaches \(-\infty\)) and downwards on the right side (as \( x \) approaches \( \infty \)). **End Behavior Options:** - \( \boxed{\ \ } \) **as** \( x \to -\infty \), \( y \to \infty \) **and as** \( x \to \infty \), \( y \to -\infty \) - \( \boxed{\ \ } \) **as** \( x \to -\infty \), \( y \to -\infty \) **and as** \( x \to \infty \), \( y \to \infty \) - \( \boxed{\ \ } \) **as** \( x \to -\infty \), \( y \to \infty \) **and as** \( x \to \infty \), \( y \to \infty \) - \( \boxed{\ \ } \) **as** \( x \to -\infty \), \( y \to -\infty \) **and as** \( x \to \infty \), \( y \to -\infty \) **Submit Answer** Remember to carefully observe the direction in which the function moves as \( x \) heads towards \(\pm \infty\). This will help determine the correct end behavior of \( f(x) \).
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