Polar Graphs - Summary
General Equation
r = a + b cos
r = a + b sin
A. |a| = |b|
B. |a| < |b|
C. |a| > |b|
I.
II.
r = a cos n
r = a sin n
(n > 1)
Description of Graph
Mathematical Name
Limaon (snail in French):
Cardioid (limaon)
Limaon with inner loop
C
Name _
Date _
Right Triangle Trigonometry and Polar Coordinates POGIL
PERSPECTIVE 1:
Sketch the unit circle in the space below, and label an arbitrary point, ( x, y ) , on the unit
circle. Using your picture, label what x and y stand for. Also, label the
Name _
Sections 3.2 3.3 Problem Set
Date: _
Pre-Calculus H
1. Graph a function given the following characteristics. There is more than one
y
correct answer.
4
lim f ( x ) = 3
x 2
3
lim f ( x ) = DNE
x 0
2
lim f ( x ) = 3
1
x 2
f ( 2 ) = f ( 0 ) = f (
Name _
Sections 3.4 Problem Set
Date: _
Pre-Calculus H
1. Charles Law for gases states that if the pressure remains constant, then the
relationship between the volume V that a gas occupies and its temperature T (in
1
T . The temperature T = -273 o C is
de
Name _
Sections 3.4 Problem Set
Date: _
Pre-Calculus H
1. Charles Law for gases states that if the pressure remains constant, then the
relationship between the volume V that a gas occupies and its temperature T (in
1
T . The temperature T = -273 o C is
de
Name _
Sections 3.5, 5.5 Problem Set
Date: _
Pre-Calculus H
1. Create a rational function such that xlim+ f ( x ) = and has removable
3
discontinuity at x = 3. There is more than one possible answer.
2. Create a rational function such that xlim+ f ( x ) =
Name _
Sections 3.5, 5.5 Problem Set
Date: _
Pre-Calculus H
1. Create a rational function such that xlim+ f ( x ) = and has removable
3
discontinuity at x = 3. There is more than one possible answer.
2. Create a rational function such that xlim+ f ( x ) =