Upload
clemence-mcgee
View
221
Download
0
Embed Size (px)
Citation preview
Section 3.5C: Graphs of Functions
• Sketch Piecewise-Defined Functions:
Ex: f (x) 2x 3 if x 0x 2 if 0 x 2
1 if x 2
• Is the function even, odd, or neither?
Ex: f (x) 3x 4 2x 2 5
• Is the function even, odd, or neither?
Ex: f (x) 2x 5 7x 3 4x
• Is the function even, odd, or neither?
Ex: f (x) 2x 3 7x 2 4x 6
Summary:
• If f(x) = f(-x), then it is “even.”
• If -f(x) = f(-x), then it is “odd.”
Even, odd, or neither??
Ex: f (x) 3x 3 x
Ex: f (x) 3x 2 x
Ex: f (x) 3x 2 1
• Sketch the Greatest Integer Function:
Define Integer:
-4 -3 -2 -1 0 1 2 3 4
The “Greatest Integer Function” will turn every number into an integer!!
Ex: 2.7
Ex: 1.1
Ex: 1.1
Ex:
• Sketch the Greatest Integer Function:
f (x) x
x y
Sketch the Greatest Integer Function w/ Transformations:
f (x) x
f (x) x 3
Transformation:
Sketch the Greatest Integer Function w/ Transformations:
f (x) x
Transformation:
f (x) 2x
Sketch the Greatest Integer Function w/ Transformations:
f (x) x
Transformation:
f (x) 2 x
Sketch the Greatest Integer Function w/ Transformations:
f (x) x
Transformation:
f (x) x
Sketch the Greatest Integer Function w/ Transformations:
f (x) x
Transformation:
f (x) x