Final Exam Flashcards
how to solve polynomial inequalities
IXRC chart (intervals, x value, result, conclusion
Testing functions
use vertical line test to test if a line drawn vertically passes through the graph more than once which would make it NOT a function.
Solving functions for Y
if answer needs a + or - then it is NOT a function
even functions
symmetric to y-axis
odd functions
symmetric to origin
finding the inverse of a function
change f(x) to Y, switch x and y, solve for y and change answer to f^-1(x)
equation of a quadratic
f(x)=a(x-h)^2+k
Word problem includes maximum or minimum
x=-b/2a
Even exponent, positive leading coefficient
rises left, rises right
Odd exponent, positive leading coefficient
falls left, rises right
Even exponent, negative leading coefficient
falls left, falls right
Odd exponent, negative leading coefficient
rises left, falls right
finding rational zeros
+- last number/first number
finding vertical asymptote
set denominator equal to 0 and solve
finding horizontal asymptote
compare the degrees of x of the numerator and denominator
what is the HA if the degree of numerator is greater?
HA=none
what is the HA if the degree of denominator is greater?
HA= y=0
What is the HA if the degrees are the same
y=a/b
logarithmic form
y=LOGbX
exponential form
b^y=x
equation of a circle
(x-h)^2+(y-k)^2=r^2
finding center given endpoints of diameter
(x1+x2/2, y1+y2/2)
compound interest formula quarterly or yearly
A=P(1+r/n)^nt
continuous compounding formula
A=Pe^rt
What does A represent in compound interest formula
final amount
What does P represent in compound interest formulas
starting amount
What does r represent in compound interest formulas
interest rate
What does t represent in compound interest formulas
time
What does n represent in compound interest formulas
compoundings in a year (n=4, n=12)
exponential population model
y=ae^bt
