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Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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The piecwise function g(x) is defined by x + 2 when x < 0, 2x2 when 0 is less than or equal to x and 1 is greater than x, and 3-x when x > 1. What type of discontinuites are present in the function? Where are these discontinuities?
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- 2. Consider the following piecewise-defined function. (2x? + 1, xs2 f(x) = }1 Gx-1, x>2 Part A: What is the defined domain of the function 2x? + 1? Part B: What is the defined domain of the functionx- 1? Part C: Sketch the graph of f (x). -10-9 -8 -7 C1 2 Part D: Is this piecewise function continuous?arrow_forwardEvaluate the piecewise-defined function. f(x) = 2 2 - X x + 2 3 (a) f(-²/-) (b) f(2)= = if x < 0 if 0≤x < 2 if x ≥ 2 = 1/2 4arrow_forward2. Sketch the graph of the piecewise defined function x² -3 for x 0 Evaluate f(5), f(0), f (-3). g(x) =arrow_forward
- Find the discontinuities of the function 2х — 1 - if 2 < x x +1 1 Let G be the function defined by G(x) = if – 1< x < 2 - - -3 if x < -1 | 2.arrow_forwardA function and its graph are given. f(x) = + 4x2 - 20x – 20 y 250 200 150 100 50 - 10 -5 5 –50 (a) From the graph, estimate where f"(x) > 0. (Enter your answer using interval notation.) Estimate where f"(x) o. (Enter your answer using interval notation.) Find where f"x) < 0. (Enter your answer using interval notation.) Find where f"(x) = 0. (Enter your answers as a comma-separated list.) Find where r(x) has its relative maxima and relative minima. (Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.) relative maxima relative minimaarrow_forwardDetermine the values of x where the function f(x) is not continuous. Label each discontinuity as removable, jump or infinite. Problem is in picture, thank you!arrow_forward
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