Solve It
Exponential Functions
Quadratic Functions
Comparing Functions
Miscellaneous
100
Solve by completing the square
x2 + 14x - 51 = 0
{3, -17}
100
What is the equation for exponential growth?
f(x) = a (1 + r)t
100
What type of a patter happens in a linear function?
What is Addition or subtraction in the second difference?
100
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
100
Identify the type of function
What is a linear function?
200
Solve by GCF
6x2 - 18x - 18 = 6
{4, -1}
200
What is the equation for exponential decay?
f(x) = a ( 1 - r)t
200
General shape of a quadratic function?
What is a U shape?
200
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
200
Two types of exponential functions
What is exponential growth and decay?
300
Solve by using the quadratic formula
7x2 - 14x = -7
{1}
300
Special characteristic of an exponential equation
What is an x in the exponent?
300
special characteristic of quadratic equation
Equations should have a power of 2
300
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
300
The name that we call the graph of a quadratic function?
What is a parabola?
400
solve:
5x2 - 44x + 120 = -30 + 11r
{6,5}
400
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
400
Key features of a parabola
What are vertex, axis of symmetry, zeros/roots, y intercept?
400
Definition of a function
What is a relationship between inputs and outputs where inputs cannot repeat?
400
The 3 forms of a quadratic function
What is vertex form, standard form and factored form?
500
15a2 - 3a = 3 - 7a
{1/3, -3/5}
500
An exponential function will never reach this number on the x axis
What is zero?
500
Formula to find the roots when a quadratic is non factorable
What is the quadratic formula?
500
Key feature that all functions have in common from their equation
What is the y-intercept?
500
The quadratic formula
What is
x=(-b+-sqrt(b^2-4ac))/(2a)
?