Chapter 1
Name 3 categories of real numbers
rational, integer, irrational, integer, whole, natural
What are the methods for solving quadratic equations
factor, complete the square, quad. form
What is a function
where each input has one unique output
What is a polynomial function
sum of terms with nonnegative integer exponents
Give 3 properties of exponents
product, power, quotient, zero, negative
Define an arithmetic sequence
ordered list with a common difference
What method would be best to solve this problem: x2+7x+10
factoring (x+2)(x+5)
How do you find domain
solve as an inequality to find all possible inputs
What is synthetic division
quick way to divide for polynomial division
How do you rationalize a denominator
eliminate square roots
How do you find the sum of an arithmetic sequence
use formulas or factor
How do you solve absolute value equations
set up two different equations and solve for each case
where curve changes concavity (straight wheel)
2 methods to find zeros of a polynomial
factoring, synthetic division
What is the equation for exponential graphs
y = abx
Name the 3 forms of linear equations
slope-intercept, point slope, standard
How do you solve radical equations
square both sides and solve for x
Name 3 forms of quadratic equations
standard, vertex, factored
What are some variables of polynomial graphs
degree, even/odd, concavity, inflection, cross/touch
What is this formula for: A = Pert
compound interest
What is the significance of the slopes of parallel and perpendicular lines
they have opposite slopes
sign changes with division and multiplication
How do you find the equation of an inverse of a function
swap x and y and solve for y
What are holes
one or multiple points of a graph which are excluded
What is ln equal to
2.71828