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:

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

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.

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."

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

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

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

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

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

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

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

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

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

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

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

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

Closure What graphs are these?