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Determine the end behavior of the following monomial functions. (That is, does the function output increase without bound ( → 0) or decrease without bound (→ - 0) as the input increases/decreases without bound?) a. Suppose f(x) i. As x → ∞, f(x) → Preview ii. As x → 0, f(x) → Preview b. Suppose g(x) = x°. i. As x → », g(x) → Preview ii. As x → - 0, g(x) → Preview c. Suppose h(x) 5æ?. - i. As x → o∞, h(x) → Preview ii. As x → o, h(x) → Preview

Determine the end behavior of the following monomial functions. (That is, does the function output increase without bound ( → 0) or decrease without bound (→ - 0) as the input increases/decreases without bound?) a. Suppose f(x) i. As x → ∞, f(x) → Preview ii. As x → 0, f(x) → Preview b. Suppose g(x) = x°. i. As x → », g(x) → Preview ii. As x → - 0, g(x) → Preview c. Suppose h(x) 5æ?. - i. As x → o∞, h(x) → Preview ii. As x → o, h(x) → Preview

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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Determine the end behavior of the following monomial functions. (That is, does the function output increase without bound ( → 0) or decrease without bound ( → - ∞) as the input increases/decreases without bound?) a. Suppose f(x) = x°. i. As x → x, f(x) → Preview ii. As x → - x, f(x) – Preview b. Suppose g(x) = x°. i. As x → o∞, g(x) → Preview ii. As x → - ∞, g(x) → Preview c. Suppose h(x) 5a3. - i. As x → ox, h(x) → Preview ii. As x → - o, h(x) → Preview
Transcribed Image Text:Determine the end behavior of the following monomial functions. (That is, does the function output increase without bound ( → 0) or decrease without bound ( → - ∞) as the input increases/decreases without bound?) a. Suppose f(x) = x°. i. As x → x, f(x) → Preview ii. As x → - x, f(x) – Preview b. Suppose g(x) = x°. i. As x → o∞, g(x) → Preview ii. As x → - ∞, g(x) → Preview c. Suppose h(x) 5a3. - i. As x → ox, h(x) → Preview ii. As x → - o, h(x) → Preview
Determine the end behavior of the following monomial functions. (That is, does the function output increase without bound ( → 0) or decrease without bound ( → - ∞) as the input increases/decreases without bound?) a. Suppose f(x) = x°. i. As x → x, f(x) → Preview ii. As x → - x, f(x) – Preview b. Suppose g(x) = x°. i. As x → o∞, g(x) → Preview ii. As x → - ∞, g(x) → Preview c. Suppose h(x) 5a3. - i. As x → ox, h(x) → Preview ii. As x → - o, h(x) → Preview
Transcribed Image Text:Determine the end behavior of the following monomial functions. (That is, does the function output increase without bound ( → 0) or decrease without bound ( → - ∞) as the input increases/decreases without bound?) a. Suppose f(x) = x°. i. As x → x, f(x) → Preview ii. As x → - x, f(x) – Preview b. Suppose g(x) = x°. i. As x → o∞, g(x) → Preview ii. As x → - ∞, g(x) → Preview c. Suppose h(x) 5a3. - i. As x → ox, h(x) → Preview ii. As x → - o, h(x) → Preview
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