1. Do Now:
Using your calculator, graph y = 2x on the following windows and sketch each below on page 1 of the Unit 2 Lesson 3-1 Lesson Guide:

2. Chapter 3: Transformations of Graphs and Data
Lesson 1: Changing Windows
Mrs. Parziale

3. Vocabulary
Transformation: is a one-to-one correspondence between sets of points.
Two types of transformations:
Translations
Scale Changes
Asymptote: a line that the graph of a function approaches and gets very close to, but never touches.
Parent function: the general form of a function, from which other related functions are derived.

4. Set Notation Reminder
Use the following notation when describing domains and ranges of various functions.
is read "the set of all x, such that x is an element of the real numbers and x is greater than 0."
is read "the set of all y, such that y is an element of the real numbers and y is greater than -5 and less than +5."

5. Example 1:
Using your calculator, graph y = 2x on the following windows and sketch each below:

6. Example 1:
Using your calculator, graph y = 2x on the following windows and sketch each below:

7. Common Parent Functions
Linear
Name: ______________
Domain: __________
Range: ______________
Asymptotes? __________
Points of discontinuity?
_________________
none
none

8. Name: Quadratic Function
Domain: ____________
Range: ______________
Asymptotes? __________
Points of discontinuity?
_________________
none
none

9. Name: Cubic Function none none Domain: ____________
Range: ______________
Asymptotes? _________
Points of discontinuity?
_________________
none
none

10. Name: Square Root function
Domain: ____________
Range: ______________
Asymptotes? _________
Points of discontinuity?
_________________
none
none

11. Name: Absolute Value Function
Domain: ______________
Range: ______________
Asymptotes? __________
Points of discontinuity?
_________________
none
none

12. Name: Exponential Function
f(x) = bx (b>1)
Domain: ______________
Range: ______________
Asymptotes? _________
Points of discontinuity?
_________________
y = 0
none

13. Name: Inverse Function
Domain: ______________
Range: ______________
Asymptotes? _________
Points of discontinuity?
_________________
x = 0 , y = 0
x = 0
Hyperbola

14. Name: Inverse Square Function
Domain: ______________
Range: ______________
Asymptotes? _________
Points of discontinuity?
_________________
x = 0 , y = 0
x = 0
Inverse Square

15. Name: Greatest Integer Function
Domain: ______________
Range: ______________
Asymptotes? __________
Points of discontinuity?
__________________________
none
Integral values of x

16. What you should show on a graph
An acceptable graph shows:
Axes are labeled
Scales on the axes are shown
Characteristic shape can be seen
Intercepts are shown
Points of discontinuity are shown
Name of function is included

17. Closure
What graphs are these?