Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN: 9780079039897
Author: Carter
Publisher: McGraw Hill
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Chapter 3.7, Problem 45PFA
To determine

To find the function of the given graph.

Expert Solution & Answer
Check Mark

Answer to Problem 45PFA

  f(x)={x+1, if x<2x+2, if x3

Explanation of Solution

Given:

  Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018, Chapter 3.7, Problem 45PFA

Assume that each box is 1 unit.

Looking closely at the graph, the given graph represents a piecewise function.

Here, the points that intersect are given clearly are (1,2) and (1,3)

Also, in the graph one of the points is dark and the other is not. So, the one that is dark is included and the other is not included.

So, the values of x at dark circle is included, so x3 and the point is (1,3).

When the value of x=1 , the value of y is 2. When we add 1 to x the value of y is 2. So, one of the piece function is x+2 when x3.

Similarly, the values of x which is not a dark circleis not included, so x<2 and the point is (1,2).

When the value of x=1 , the value of y is 3. When we add 2 to x the value of y is 3. So, one of the piece function is x+1 when x<2.

Hence, the piece functions are combined and is represented as f(x)={x+1, if x<2x+2, if x3.

Conclusion:

Therefore, the function is f(x)={x+1, if x<2x+2, if x3.

Chapter 3 Solutions

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

Ch. 3.1 - Prob. 2CYUCh. 3.1 - Prob. 3CYUCh. 3.1 - Prob. 4CYUCh. 3.1 - Prob. 5CYUCh. 3.1 - Prob. 6CYUCh. 3.1 - Prob. 7CYUCh. 3.1 - Prob. 8CYUCh. 3.1 - Prob. 9CYUCh. 3.1 - Prob. 10CYUCh. 3.1 - Prob. 11CYUCh. 3.1 - Prob. 12CYUCh. 3.1 - Prob. 13PPSCh. 3.1 - Prob. 14PPSCh. 3.1 - Prob. 15PPSCh. 3.1 - Prob. 16PPSCh. 3.1 - Prob. 17PPSCh. 3.1 - Prob. 18PPSCh. 3.1 - Prob. 19PPSCh. 3.1 - Prob. 20PPSCh. 3.1 - Prob. 21PPSCh. 3.1 - Prob. 22PPSCh. 3.1 - Prob. 23PPSCh. 3.1 - Prob. 24PPSCh. 3.1 - Prob. 25PPSCh. 3.1 - Prob. 26PPSCh. 3.1 - Prob. 27PPSCh. 3.1 - Prob. 28PPSCh. 3.1 - Prob. 29PPSCh. 3.1 - Prob. 30PPSCh. 3.1 - Prob. 31PPSCh. 3.1 - Prob. 32PPSCh. 3.1 - Prob. 33PPSCh. 3.1 - Prob. 34PPSCh. 3.1 - Prob. 35PPSCh. 3.1 - Prob. 36PPSCh. 3.1 - Prob. 37PPSCh. 3.1 - Prob. 38PPSCh. 3.1 - Prob. 39PPSCh. 3.1 - Prob. 40PPSCh. 3.1 - Prob. 41PPSCh. 3.1 - Prob. 42PPSCh. 3.1 - Prob. 43PPSCh. 3.1 - Prob. 44PPSCh. 3.1 - Prob. 45PPSCh. 3.1 - Prob. 46PPSCh. 3.1 - Prob. 47PPSCh. 3.1 - Prob. 48PPSCh. 3.1 - Prob. 49PPSCh. 3.1 - 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