Suppose that the function f is defined, for all real numbers, as follows. 2x-1 if x<1 f(x) = -x+2 if x2l Graph the function f. Then determine whether or not the function is continuous. Is the function continuous? OYes ONo 10 -8.. 10 10+

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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I need help. Can someone please help me with the graph I don't understand 

Suppose that the function f is defined, for all real numbers, as follows.
2x -1 if x<1
f (x) = -
%3D
-x +2 if x >1
Graph the function f. Then determine whether or not the function is continuous.
Is the function continuous?
10-
OYes
O No
-10
.6.
10
10
Transcribed Image Text:Suppose that the function f is defined, for all real numbers, as follows. 2x -1 if x<1 f (x) = - %3D -x +2 if x >1 Graph the function f. Then determine whether or not the function is continuous. Is the function continuous? 10- OYes O No -10 .6. 10 10
Expert Solution
Step 1

First draw the graph of line; L1: y = 2x -1 when x < 1.

The slope of the line L1 is 2, which means for every unit increase in x, the increment in y will be 2.

And the y-intercept of the line is (0,-1).

Similarly, for the line L2: y = -x +2 when x1.

The slope of the line L2 is -1 which means for every unit decrement in x, the increment in y will be 1.

The y-intercept of the line L2 is (0,2).

The plot of the given piecewise function is:

Algebra homework question answer, step 1, image 1

 

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