Lesson 15 - Even, Odd, Sym about Origin Functions

Pg. 197: 19,20,23,27,28,29ab and Pg. 204: 4,9,15,16,21,22,23

Lesson 15 - 5.2 # 19 Determine Symmetry (Even or Odd Function):

Test for Even:

Test for Odd:

So odd

Lesson 15 - 5.2 # 20 Determine Symmetry (Even or Odd Function):

Test for Even:

So even

Lesson 15 - 5.2 # 23a Transformation steps :

(c) 23a and 23 b are the same

(a) 1. Reflect across y-axis and 2. move down 3 units.

Lesson 15 - 5.2 # 23b Transformation steps :

(a) 1. Down 3 units and 2. Reflect across y-axis:

Lesson 15 - 5.2 # 27 Match the Transformation to formulas:

f(x)

 
(i) y = f(-x)

(ii) y = - f(x)

(iii) y = f(-x)+3

(iv) y = - f(x - 1)

(v) y = - f(-x)

(vi) y = -2- f(x)

Lesson 15 - 5.2 # 28 Fill in table for odd and even function:

x -3 -2 -1 0 1 2 3
y

even

5 -8 -4   -4 -8 5
y

odd

-5 8 -4 0 4 -8 5

Lesson 15 - 5.2 # 29 Sketch transformation given the graph of a function y = f(x).

(a) symmetrical about y-axis

(b) symmetrical about origin

(c) symmetrical about line y = x