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1. For which function below does lim f(x) = -∞? X-2+ 1 f(x) = - x-2 1 f(x) = - (2 – x) x² - 4 a. с. f(x) = х-2 b. d. x' - 4 f(x) = - 2-x

1. For which function below does lim f(x) = -∞? X-2+ 1 f(x) = - x-2 1 f(x) = - (2 – x) x² - 4 a. с. f(x) = х-2 b. d. x' - 4 f(x) = - 2-x

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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1. For which function below does lim f(x) = -0 ? x2+ 1 S(x) = x-2 x? - 4 f(x): а. с. X- b. f (x) = 1 d. x² - 4 f(x) = (2 – x) 2-x 2. Which of the following can the first derivative not be used to determine? a. critical numbers b. Concavity c. where the function is increasing or decreasing d. local maxima or local minima (x- 7)(x+ 5)(x- 2) 3. Let f"(x) = For what values of x is f(x) increasing? (x+ 4)°(x- 3) a. x<-5 b. 3 <x <7 c. -5 <x < 2 and 3 <x <7 d. x <-5,2 <x < 3, and x > 7 4. If a continuous function f (x) has a local maximum at x = c, then which of the following statements is false? a. (c, f(c)) is a critical point b. f(x) changes from increasing to decreasing at x = c c. f(x) changes from concave down to concave up at x = c d. f'(x) changes from positive to negative at x = c 5. If f(x) = ax +2, where a and b are constants, find f"(x). 2b 2b a + x3 b. 2b a. с. x3 b a + b. x3 6. Determine the number of times f"(x) = 0 given the graph of f(x)? a. 0 b. 1 4 с. 2 d. 3
Transcribed Image Text:1. For which function below does lim f(x) = -0 ? x2+ 1 S(x) = x-2 x? - 4 f(x): а. с. X- b. f (x) = 1 d. x² - 4 f(x) = (2 – x) 2-x 2. Which of the following can the first derivative not be used to determine? a. critical numbers b. Concavity c. where the function is increasing or decreasing d. local maxima or local minima (x- 7)(x+ 5)(x- 2) 3. Let f"(x) = For what values of x is f(x) increasing? (x+ 4)°(x- 3) a. x<-5 b. 3 <x <7 c. -5 <x < 2 and 3 <x <7 d. x <-5,2 <x < 3, and x > 7 4. If a continuous function f (x) has a local maximum at x = c, then which of the following statements is false? a. (c, f(c)) is a critical point b. f(x) changes from increasing to decreasing at x = c c. f(x) changes from concave down to concave up at x = c d. f'(x) changes from positive to negative at x = c 5. If f(x) = ax +2, where a and b are constants, find f"(x). 2b 2b a + x3 b. 2b a. с. x3 b a + b. x3 6. Determine the number of times f"(x) = 0 given the graph of f(x)? a. 0 b. 1 4 с. 2 d. 3
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