Rules of Asymptotes
where do you find vertical asymptotes?
Denominator
A positive function with an even degree will have what end behavior when approaching infinity?
infinity
g(x)=-f(x) has what transformation?
vertical reflection
What is the rate of change also known as?
The Slope
Who was the first U.S. president?
George Washington
If a functions numerator has a higher exponent than denominator where is the horizontal asymptote?
y=0
a negative coefficient with an even degree will have what end behavior when approaching - infinity?
- infinity
g(x)=2f(x)-4 has what transformations?
vertical dilation, vertical translation
How many points are required to find the constant rate of change of a linear function?
Two points
What's the boiling point of water in celsius?
100 Degrees
what is the horizontal asymptote when the degree of the numerator is greater than the degree of the denominator?
no horizontal asymptote
when a function has a positive leading coefficient and is an odd degree the end behavior will be _ when x is approaching infinity and _ when x is approaching - infinity
infinity, - infinity
g(x)=f(2x)+5 has what transformations?
horizontal dilation, vertical translation
What is the rate of change?
(9-1)/2
4
What causes deforestation?
Ms. Bonneau
What is the horizontal asymptote of f(x)=1/2x-3
y=0
when a function has a negative leading coefficient and is an odd degree the end behavior will be _ when x is approaching infinity and _ when x is approaching - infinity
- infinity, infinity
What would a quadratic equation look like if you had a vertical reflection, vertical dilation of 4 and horizontal translation of 3
f(x)=-4(x2-3)
What is the equation for the average rate of change?
y2-y1/x2-x1
How many ounces are in a cup?
What algebraic method do you use to find the equation of a slant asymptote?
Synthetic Division or Polynomial long division
2x4+3x2-1 has what end behavior?
infinity when x is approaching infinity and negative infinity
What would a cubic equation look like if you had a horizontal reflection, horizontal dilation of 2, vertical dilation of 3, horizontal translation of 4, and vertical translation of 1?
g(x)=3(-2x3-4)+1
As approaching the maximum point of a polynomial describe the rate of change?
Increasing at a decreasing rate
What's the most popular drink in the U.S. by volume?
Bottled water