Holes Poles and Zeroes
This point on the graph of a rational function requires one to substitute x=0 in order to solve for
What is the y-intercept?
Placing money in a savings account is this kind of exponential change
What is exponential growth?
A yearly growth of 12% per year is the same as scaling by this number
What is 1.12?
what is quotient and remainder?
The act of doing this gives the possibility (but no guarantee) of finding a hole
What is cancelling?
This type of compounding leads to the largest change in interest when compared to the other types of compounding behavior.
What is compounding continuously?
A yearly decay of 24% per year is the same as scaling by this number
this is the remainder of the polynomial division of p(x) = 2x+1 and q(x) = -x with q(x) dividing p(x)
What is a remainder of 1?
Taking degree of the top minus degree of the bottom determines this property.
What is the degree of the non-vertical asymptote?
An interest rate of 3.1% compounded monthly with a starting amount of $1300 is modeled by this exponential function
What is A(x) = 1300(1.031)^12x ?
A cell has been doubling itself once per hour over the course of 10 days according to this exponential function
What is f(x) = 1*(2)^(24x) where x is in days?
End behavior of a rational function is determined by this
What is the non-vertical asymptote? (AKA horizontal or slant aymptote)