Vertical and horizontal reflections and inverse functions.

1. Baby Play
or
All About
Inverse
Functions
duck wrangling by toyfoto

2. Are these functions even or odd? Justify your answers algebraically.
3
g(x) = x + 3x
4
ƒ(x) = x + 2x + 3 2

3. ƒ is an even function.
COMPLETE THE GRAPH.

4. ƒ is an odd function.
COMPLETE THE GRAPH.

5. Reflections
I thought I saw a puddy cat....
by flickr user law_keven

6. Reflections
Vertical Reflections
Given any function ƒ(x):
• ƒ(x) produces a reflection in the x-axis.
y-coordinates are multiplied by (-1)
Horizontal Reflections
Given any function ƒ(x):
• ƒ(-x) produces a reflection in the y-axis.
x-coordinates are multiplied by (-1)
Inverses: the inverse of any function ƒ(x) is
(read as: quot;EFF INVERSEquot;)
WARNING:
undoes whatever ƒ did.
Zuiderkerk by flickr user MorBCN

7. Reflections
Vertical Reflections
Given any function ƒ(x):
• ƒ(x) produces a reflection in the x-axis.
y-coordinates are multiplied by (-1)
Horizontal Reflections
Given any function ƒ(x):
• ƒ(-x) produces a reflection in the y-axis.
x-coordinates are multiplied by (-1)
Inverses: the inverse of any function ƒ(x) is
(read as: quot;EFF INVERSEquot;)
WARNING:
undoes whatever ƒ did.
Zuiderkerk by flickr user MorBCN

8. Baby Play
or
All About
Inverse
Functions
duck wrangling by toyfoto

9. Inverses ...
The concept ...
Numerically speaking ...

10. Inverses ... Conceptually analyzing
Algebraically speaking ... the function ...

11. Inverses ...
Graphically speaking ...