Let the graph drawn below represent f (x). Give the open interval on which the graph is constant.

Answered: Let the graph drawn below represent f…

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter3: Functions

Section3.3: More On Functions; Piecewise-defined Functions

Problem 4SC

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Let the graph drawn below represent f (x). Give the open interval on which the graph is constant.

Expert Solution

Step 1

We need to find the open interval in which the given graph is constant.

Step 2

$A = (- 3, - 3), B = (0, 5) E q u a t i o n o f l i n e A B i s (y + 3) = \frac{8}{3} (x + 3) 3 y + 9 = 8 x + 24 8 x - 3 y + 15 = 0, w h i c h i s n o t a c o n s \tan t l i n e .$

$B = (0, 5), C = (2, 2) E q u a t i o n o f l i n e B C i s (y - 5) = \frac{- 3}{2} (x) 2 y - 10 = - 3 x 3 x + 2 y = 10, w h i c h i s n o t a c o n s \tan t l i n e .$

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