Unit 3: Rational Functions
3.3 Day 2- Oblique (Slant) Asymptotes and Holes in Rational Functions
Recall: The quotient of two polynomial functions usually results in a discontinuous function
called a rational function.
Oblique Asymptotes
A rational funct
a) Determine x and y intercepts.
. 1
l = b) Determine vertical and horizontal a m tate(s).
( ) y 2x2—9x-5 W P
a) State the behavior near asymptotes.
0‘) State any necessary test point(s). (Le. local max/min)
0% 744M" L’o’i‘ =0 ‘j-int‘. \et— ><=O a) Dete
Unit 5: Trigonometric Functions
5.4 Trigonometric Equations
Equations involving trigonometric expressions are called trigonometric equations. Finding the value of the
variable is usually the same as finding the measure of the angle that satisfies the equa
1
1
3
3
1/2
1/2
-3
3
(x, 3y)
Stretched vertically by a factor of 3
Compressed vertically by a factor of 1/2
Stretched vertically by a factor of 3,
and vertical reflection.
1
2
1/2
horizontally compressed by a factor of 1/2
horizontally stretched by a fact
Unit 5: Trigonometric Functions
5.2 Graphs of Reciprocal Functions
Using what we know about reciprocal functions from the previous unit, we can state the following:
I The graph of a reciprocal function has a vertical asymptote at each zero of the co
UniT 4: Trigonome'l'ry
4. 1 Radian Measure
Angles and Their LocaTion in The xy—plane
- An angle is formed when a ray is roTaTed abouT a fixed poinT called The verTex.
- The ray is called The iniTial arm and The beginning of The angle and The Termina