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Question 2. (a) Let f(x) = x+2)+(x-1| + |x-2) on R. Write this function as a piecewise function, then draw its graph. Note: Your piecewise formula should look like this: 7 (b) Let h(r) be the function with the graph below. Evaluate the following three limits, where f is the function in part (a): 6 5 4 3 2 1 f(x) = lim h(f(x)), lim h(f(x)), z-1 --2- y=h(x) 1 2 x < -2, -2 ≤ x ≤ 1, 1 < x < 2, x ≥ 2. 3 4 10 5 lim h(f(x)) #4-2+ 6 7 x

Question 2. (a) Let f(x) = x+2)+(x-1| + |x-2) on R. Write this function as a piecewise function, then draw its graph. Note: Your piecewise formula should look like this: 7 (b) Let h(r) be the function with the graph below. Evaluate the following three limits, where f is the function in part (a): 6 5 4 3 2 1 f(x) = lim h(f(x)), lim h(f(x)), z-1 --2- y=h(x) 1 2 x < -2, -2 ≤ x ≤ 1, 1 < x < 2, x ≥ 2. 3 4 10 5 lim h(f(x)) #4-2+ 6 7 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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Please solve the following question and all of it parts (part a and b) Also please provide explanation how you got to each answer and what was the thinking?
Question 2. (a) Let f(x) = x+21+x-1| + |x-2| on R. Write this function as a piecewise function, then draw its graph. Note: Your piecewise formula should look like this: (b) Let h(r) be the function with the graph below. part (a): 6 Y 5 4 3 2 lim h(f(x)), I-1 1 f(x) = y=h(x) 1 2 --- Evaluate the following three limits, where f is the function in lim h(f(x)), lim h(f(x)) #--2- 3 x < -2, -2 ≤ x ≤ 1, 1<x<2, x ≥ 2. 4 5 *--2+ 6 7 x (c) Write an equation of a function g(x) which has all six of the following properties. Sketch the graph of your g(x). (You can use a piecewise definition.) • lim g(x) = 2 ● lim g(x) = 3 • g(1)=5 • lim_g(x) = 5 *→2+ ● • lim g(x) = -x #42- g(2) is undefined
Transcribed Image Text:Question 2. (a) Let f(x) = x+21+x-1| + |x-2| on R. Write this function as a piecewise function, then draw its graph. Note: Your piecewise formula should look like this: (b) Let h(r) be the function with the graph below. part (a): 6 Y 5 4 3 2 lim h(f(x)), I-1 1 f(x) = y=h(x) 1 2 --- Evaluate the following three limits, where f is the function in lim h(f(x)), lim h(f(x)) #--2- 3 x < -2, -2 ≤ x ≤ 1, 1<x<2, x ≥ 2. 4 5 *--2+ 6 7 x (c) Write an equation of a function g(x) which has all six of the following properties. Sketch the graph of your g(x). (You can use a piecewise definition.) • lim g(x) = 2 ● lim g(x) = 3 • g(1)=5 • lim_g(x) = 5 *→2+ ● • lim g(x) = -x #42- g(2) is undefined
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