Solve by completing the square
x2 + 14x - 51 = 0
{3, -17}
What is the equation for exponential growth?
f(x) = a (1 + r)t
What type of a patter happens in a linear function?
What is Addition or subtraction in the second difference?
What is the same or different about the patterns/rates of change in the different types of functions?
Linear and Exponential Functions both use addition and subtraction
Exponential uses multiplication and addition
Identify the type of function
What is a linear function?
Solve by GCF
6x2 - 18x - 18 = 6
{4, -1}
What is the equation for exponential decay?
f(x) = a ( 1 - r)t
General shape of a quadratic function?
What is a U shape?
What is the same or different about the graphs in the 3 types of functions?
Quadratic and exponentials BOTH are semi curved
Linear functions are the only straight line
Two types of exponential functions
What is exponential growth and decay?
Solve by using the quadratic formula
7x2 - 14x = -7
{1}
Special characteristic of an exponential equation
What is an x in the exponent?
special characteristic of quadratic equation
Equations should have a power of 2
What is the same or different about the equations in the 3 types of functions?
Exponential and quadratic BOTH have a power.
Linear equations don't have a power
The name that we call the graph of a quadratic function?
What is a parabola?
solve:
5x2 - 44x + 120 = -30 + 11r
{6,5}
Write an exponential function to model each situation. Find the value of each function after five years.
a. A $12,500 car depreciates 9% each year
$7,800.40
Key features of a parabola
What are vertex, axis of symmetry, zeros/roots, y intercept?
Definition of a function
What is a relationship between inputs and outputs where inputs cannot repeat?
What is vertex form, standard form and factored form?
15a2 - 3a = 3 - 7a
{1/3, -3/5}
An exponential function will never reach this number on the x axis
What is zero?
What is the quadratic formula?
Key feature that all functions have in common from their equation
What is the y-intercept?
What is
x=(-b+-sqrt(b^2-4ac))/(2a)
?