1. From the graph of g, state the intervals on which g is continuous.-7 -5i.نيf(x)=-ii. _f(x) =012x²-1x+12. Explain why the function is discontinuous at the given number a.1(x-1)²,a=13,a=-157X

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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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The rectangular plot of land shown in the figure is to be fenced along three sides using 39 feet of fencing. No fencing is to be placed along the river’s edge. The area of the plot is 180 square feet. What are its dimensions?
3. gix) Ax) -3 -2 -3 Use the graph to find the domain and range of each function. Assume each function continues in a similar pattern. (Commonly shown with arrowheads at the ends of the graphs.) domain of f range of f domain of g range of g
The function f is graphed below. State the values that fulfill the following requirements. If there are no such values, type DNE. If there are multiple discrete values, separate them with commas. there are a whole interval of values that fulfill the requirement, use interval notation to give all of the values in the interval. Type oo for ∞ and -oo for -∞. Also type U for U. YA (1.5,2) 2- 1.5- 1- (-0.7.0.2) 0.5- 1 -0.5 Where does f have local minimums? What are these local minimum values? the relative minimum is which occurs at x = Where does f have local maximums? the relative maximums occur at a 1.5 -0.5- -1.5- (0.7,0.2) 0.5 1 1.5X (-1.2,-1) Where is f-0? at x = What are the values in the closed interval [-1.2, 1.5] where f undefined? at x = 2+
-4 -3 -2 T 5 4+ 3+ 2+ 0 -1 -2- -3 -4 -5 1 ▶ N. 2 3 4 Continuous ? -50 Are any of the statement true? Use the sketch tool on the graph if that helps to illustrate your thinking. (Select all that apply.) The function is right continuous at x = 3. The function is left continuous at x = 3. The function is continuous at x = 3.
Is the function e-2*) increasing or decreasing when x = 5? O decreasing O increasing O neither decreasing nor increasing
Refer to the photo

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1. From the graph of g, state the intervals on which g is continuous. YA All 0 -3 -7 1. 1 3 5 7 X