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Operations on Functions Lesson 2.5 ƒ(g(x)) f(x) + g(x) f(x) - g(x) f(x) ÷ g(x) f(x) ∙ g(x)

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Presentation on theme: "Operations on Functions Lesson 2.5 ƒ(g(x)) f(x) + g(x) f(x) - g(x) f(x) ÷ g(x) f(x) ∙ g(x)"— Presentation transcript:

1 Operations on Functions Lesson 2.5 ƒ(g(x)) f(x) + g(x) f(x) - g(x) f(x) ÷ g(x) f(x) ∙ g(x)

2

3 Practice

4 Independent Practice  Complete problem set A independently.

5 1. Rewrite with space instead of x. 2. Substitute input into that space. 3. Simplify.

6 Practice

7 Independent Practice  Complete problem set B independently.

8 Operations on multiple functions: Adding and Subtracting Remember to subtract entire quantity (distribute the negative)! Sometimes written:Find:

9 Operations on multiple functions: Multiplying

10 Practice

11 Independent Practice  Complete problem set C independently.

12 Operations on Functions Lesson 2.5b ƒ(g(x)) f(x) + g(x) f(x) - g(x) f(x) ÷ g(x) f(x) ∙ g(x)

13 DO NOW  Review for the quiz today: Silently re-read and annotate your notes, HW assignments and classwork. Highlight key points and write down reminders for yourself.

14 Oral Drill  Function or Not? {(6, -1), (-2, -3), (1,8), (-2,-5)} Not Function xY aX bY cY dZ

15 Oral Drill  Function or Not? Function

16 Oral Drill  Domain and range of the following relations:  {(6, -1), (-2, -3), (1,8), (-2,-5)}  Domain: {6, -2, 1}  Range: {-1, -3, 8, -5}

17 Oral Drill  Domain and range of the following relations:  Domain: {a, b, c, d}  Range: {X, Y, Z} xY aX bY cY dZ

18 Oral Drill

19  If f(x) = 3x+4, what is –f(x)?  -f(x) = -3x – 4  If f(x) = 3x+4, what is f(-x)?  f(-x) = -3x +4

20 Oral Drill

21 Quiz  When you finish, organize your binder  If you have extra time, please help organize a partner’s binder

22 Review

23

24 Representing Operations Graphically  Use the graph to find f(-2) + g(-2).  Check your work by finding f(x) + g(x) algebraically. Then evaluate for x = -2

25 Representing Operations Graphically  Use the graph to find g(0) x f(0). Check your work by finding g(x) x f(x) algebraically. Then evaluate for x=0


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