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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

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.2: Functions Given By Tables
Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...
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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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