lesson22outline

lesson22outline - MA 153 Lesson 22 Outline Quiz Solution...

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MA 153 Lesson 22 Outline Quiz Solution (Practice problems for distance learning students) 1. Given the graph below, find the following: (a) Domain Domain is the smallest x to the largest x , so [ ] :0 ,4 D (b) Range Range is the smallest y to the largest y , so [ ] :2 , 2 R (c) Intervals for which the function is increasing. Increasing on [ ] [ ] 0,1 3,4 (d) Intervals for which the function is decreasing. Decreasing on [ ] 1, 3 y x (0,0) (2,0) (3,-2) (4,0) (1,2) y = fx ( ) Answering of homework questions over lesson 21.
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Lesson 22 Section 3.5 Graphical Transformations Even and Odd functions (1) Even function: symmetric with respect to the y- axis x y () , x y , x y Test: Substitute x into the function and see if the y- value stays the same. (2) Odd function Test: Substitute x into the function and see if the y- value is opposite what it was. x y , x y ( ) , x y −− *** A graph symmetric with respect to the x-axis contradicts the definition of a function. Example: Even, Odd, or neither? (a) f xx = (b) 3 f =+ x (c) 2 1 f xxx =−+
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Changes in Graphs A vertical change is something being done to the function and changes the
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lesson22outline - MA 153 Lesson 22 Outline Quiz Solution...

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