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3 We want to sketch the function f(x) = 2 + Note that f'(z) = State the domain of f(z). Domain: z-intercept(s): 3 18 + y-intercept(s): -3x + 18 -2-20²+3x-9. and f''(z) = 6 Use algebra to determine any intercepts of f(x). Write the intercepts as ordered pairs. 54 бæ - 54 Locate any horizontal asymptote of f(x) by using limits. Write any horizontal asymptote as an equation. Horizontal Asymptote: State the location of the vertical asymptoto of sin and uro limite to describe the

3 We want to sketch the function f(x) = 2 + Note that f'(z) = State the domain of f(z). Domain: z-intercept(s): 3 18 + y-intercept(s): -3x + 18 -2-20²+3x-9. and f''(z) = 6 Use algebra to determine any intercepts of f(x). Write the intercepts as ordered pairs. 54 бæ - 54 Locate any horizontal asymptote of f(x) by using limits. Write any horizontal asymptote as an equation. Horizontal Asymptote: State the location of the vertical asymptoto of sin and uro limite to describe the

Calculus: Early Transcendentals
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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Determine any local (or relative) extrema of f(x) as ordered pairs. [You may round any values to three decimal places. If there are more answer spaces than necessary, leave the extra spaces unanswered.] f(x) has a local Select an answer at f(x) has a local | Select an answer at f(x) has a local Select an answer at Use calculus to determine the interval(s) where f(x) is concave up and the intervals where f(x) is concave down. f(x) is concave up on f(x) is concave down on Determine any inflection points of f(x) as ordered pairs. [You may round any values to three decimal places.] Inflection Point (s) at: Use your work from the previous parts to create a rough sketch of the graph of f(x) = 2 + -3-2/2 = 2x² +30=9 9 on your work paper. Use appropriate scale on x the axes. Do your best to include the important features you have found through your analysis. Do not input anything in the answerbox below
Transcribed Image Text:Determine any local (or relative) extrema of f(x) as ordered pairs. [You may round any values to three decimal places. If there are more answer spaces than necessary, leave the extra spaces unanswered.] f(x) has a local Select an answer at f(x) has a local | Select an answer at f(x) has a local Select an answer at Use calculus to determine the interval(s) where f(x) is concave up and the intervals where f(x) is concave down. f(x) is concave up on f(x) is concave down on Determine any inflection points of f(x) as ordered pairs. [You may round any values to three decimal places.] Inflection Point (s) at: Use your work from the previous parts to create a rough sketch of the graph of f(x) = 2 + -3-2/2 = 2x² +30=9 9 on your work paper. Use appropriate scale on x the axes. Do your best to include the important features you have found through your analysis. Do not input anything in the answerbox below
3 We want to sketch the function f(x) = 2 + x Note that f'(x) = State the domain of f(x). Domain: x-intercept(s): y-intercept(s): lim x → 3 18 + lim = x → -3x+18. Use algebra to determine any intercepts of f(x). Write the intercepts as ordered pairs. 9 --2 f(x) = Behavior on the right of the vertical asymptote: 2 2x + 3x9. x and f''(x) Locate any horizontal asymptote of f(x) by using limits. Write any horizontal asymptote as an equation. Horizontal Asymptote: f(x) is decreasing on State the location of the vertical asymptote of f(x) and use limits to describe the behavior of the function on each side of the asymptote. Location of Vertical Asymptote: Behavior on the left of the vertical asymptote: f(x) = 6 54 6x 54 x Use calculus to determine the interval(s) where f(x) is increasing and the intervals where f(x) is decreasing. f(x) is increasing on
Transcribed Image Text:3 We want to sketch the function f(x) = 2 + x Note that f'(x) = State the domain of f(x). Domain: x-intercept(s): y-intercept(s): lim x → 3 18 + lim = x → -3x+18. Use algebra to determine any intercepts of f(x). Write the intercepts as ordered pairs. 9 --2 f(x) = Behavior on the right of the vertical asymptote: 2 2x + 3x9. x and f''(x) Locate any horizontal asymptote of f(x) by using limits. Write any horizontal asymptote as an equation. Horizontal Asymptote: f(x) is decreasing on State the location of the vertical asymptote of f(x) and use limits to describe the behavior of the function on each side of the asymptote. Location of Vertical Asymptote: Behavior on the left of the vertical asymptote: f(x) = 6 54 6x 54 x Use calculus to determine the interval(s) where f(x) is increasing and the intervals where f(x) is decreasing. f(x) is increasing on
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State the location of the vertical asymptote of \( f(x) \) and use limits to describe the behavior of the function on each side of the asymptote. - **Location of Vertical Asymptote:** \_\_\_\_\_ - **Behavior on the left of the vertical asymptote:** \[ \lim_{{x \to \_\_\_\_^-}} f(x) = \_\_\_\_ \] - **Behavior on the right of the vertical asymptote:** \[ \lim_{{x \to \_\_\_\_^+}} f(x) = \_\_\_\_ \] --- Use calculus to determine the interval(s) where \( f(x) \) is increasing and the intervals where \( f(x) \) is decreasing. - \( f(x) \) is increasing on \_\_\_\_\_ - \( f(x) \) is decreasing on \_\_\_\_\_ --- Determine any local (or relative) extrema of \( f(x) \) as ordered pairs. [You may round any values to three decimal places. If there are more answer spaces than necessary, leave the extra spaces unanswered.] - \( f(x) \) has a local \(\text{[Select an answer]}\) at \_\_\_\_\_. - \( f(x) \) has a local \(\text{[Select an answer]}\) at \_\_\_\_\_. - \( f(x) \) has a local \(\text{[Select an answer]}\) at \_\_\_\_\_. --- Use calculus to determine the interval(s) where \( f(x) \) is concave up and the intervals where \( f(x) \) is concave down. - \( f(x) \) is concave up on \_\_\_\_\_ - \( f(x) \) is concave down on \_\_\_\_\_ --- Determine any inflection points of \( f(x) \) as ordered pairs. [You may round any values to three decimal places.] - Inflection Point(s) at: \_\_\_\_\_ --- Use your work from the previous parts to create a rough sketch of the graph of \[ f(x) = 2 + \frac{3}{x} - \frac{9}{x^2} = \frac{2x^
Transcribed Image Text:State the location of the vertical asymptote of \( f(x) \) and use limits to describe the behavior of the function on each side of the asymptote. - **Location of Vertical Asymptote:** \_\_\_\_\_ - **Behavior on the left of the vertical asymptote:** \[ \lim_{{x \to \_\_\_\_^-}} f(x) = \_\_\_\_ \] - **Behavior on the right of the vertical asymptote:** \[ \lim_{{x \to \_\_\_\_^+}} f(x) = \_\_\_\_ \] --- Use calculus to determine the interval(s) where \( f(x) \) is increasing and the intervals where \( f(x) \) is decreasing. - \( f(x) \) is increasing on \_\_\_\_\_ - \( f(x) \) is decreasing on \_\_\_\_\_ --- Determine any local (or relative) extrema of \( f(x) \) as ordered pairs. [You may round any values to three decimal places. If there are more answer spaces than necessary, leave the extra spaces unanswered.] - \( f(x) \) has a local \(\text{[Select an answer]}\) at \_\_\_\_\_. - \( f(x) \) has a local \(\text{[Select an answer]}\) at \_\_\_\_\_. - \( f(x) \) has a local \(\text{[Select an answer]}\) at \_\_\_\_\_. --- Use calculus to determine the interval(s) where \( f(x) \) is concave up and the intervals where \( f(x) \) is concave down. - \( f(x) \) is concave up on \_\_\_\_\_ - \( f(x) \) is concave down on \_\_\_\_\_ --- Determine any inflection points of \( f(x) \) as ordered pairs. [You may round any values to three decimal places.] - Inflection Point(s) at: \_\_\_\_\_ --- Use your work from the previous parts to create a rough sketch of the graph of \[ f(x) = 2 + \frac{3}{x} - \frac{9}{x^2} = \frac{2x^
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