HPC
Section 1.3 D2
Name:
Sept 2015
Greatest Integer Function :
Example 1:
a.
Graph the function
𝑓(𝑥) = ‖𝑥‖
b.
𝑓(𝑥) = ‖𝑥 + 3‖ − 1
Even Function :
Odd Function :
Example 2:
a.
𝑓(𝑥) = 𝑥 3 − 8𝑥
Example 3:
a.
Tell whether the function is even, odd, or neither.
even
b.
𝑓(𝑥) = 𝑥 2 − 6𝑥 + 5
c.
𝑓(𝑥) = 𝑥 2 + 3
Find the coordinates of a second point on the graph of a function if (5, −1) is on the graph
and the function is
b.
odd
Example 4:
𝑓(𝑥) = {
Sketch the piece-wise function
2𝑥 − 1
− 𝑥2
Example 5:
if 𝑥 ≤ −1
if 𝑥 > −1
Find the equation for the piece-wise function
TONIGHT’S HOMEWORK:
Calendar, Wednesday Sept. 16 – as written
Calendar, Tuesday Sept. 15 Section 1.3 #43, 48; Section 1.2 #95
Graph the following parent functions. Determine the domain and range for each using interval notation.
1.
𝑓(𝑥) = 𝑥
2.
Domain:______________ Range:______________
3.
𝑓(𝑥) = √𝑥
Domain:_____________ Range:_____________
4.
Domain:______________ Range:______________
5.
𝑓(𝑥) = |𝑥|
Domain:______________ Range:______________
𝑓(𝑥) = 𝑥 2
𝑓(𝑥) = 𝑥 3
Domain:_____________ Range:_____________
6.
𝑓(𝑥) = 2
Domain:_____________ Range:_____________