Key Features Expon. f(x)'s
Growth or Decay
Growth or Decay 2
This is not math!
Exponential Equations
The number e
100
These represent a and b in this equation. y=a(bx )
What is
a = initial amount/y-intercept
b = growth/decay factor
100
this is an example of this type of exponential equation.
f(x)=7(3/2)^(x-2)
What is Growth?
100
in an exponential function below, this variable represents the y-intercept of an exponential equation.
y=a*b^x
What is a?
100
This is what www stands for in a web browser.
What is world wide web?
100
This is equivalent to 512 in base 2.
What is
2^9
100
This is the result of
e^8/e^2
What is
e^6
200
this represent the initial value and growth/decay factor for the function f(x) = 2(3)x
initial value = 2
GROWTH FACTOR = 3
200
This is the percent change (rate) of this equation.
y = 3(1.5)x
What is 50%?
200
This always has to be present in an exponential equation in order to be called an exponential equation.
be precise.
A variable in the exponent.
200
This animal is seen in the Porche logo.
What is a horse?
200
This is equivalent to
1/4096
in base 8.
What is
8^(-4)
200
This is the result of
e^5*e^23
What is
e^28
300
This represents this type of exponential function.
What is exponential growth?
300
f(x)=a(.93)x
This represents the rate in this this equation.
What is exponential Decay of 7%?
300
f(x)=a(1.07)x
In this exponential equation, this percent represent the percent of growth.
What is 7%?
300
This is Mufasa's trusted advisor in the Lion King.
who is Zazu?
300
This is the only number that does not equal 1 when raised to the zero power.
What is zero?
300
This equation getting closer to infinity defines e.
What is
A=P(1+r/n)^(nt
400
This is an example of an exponential growth equation.
CREATE YOUR OWN
Create any equation with a b>1
400
This is the percent increase of this equation.
y = 4(3)x
What is 200%?
400
In this equation, this is the percent of decay.
y=1/2(0.7)^x
What is 30% decay?
400
This is how many ghost there are at Disney's Haunted House.
What is 999?
400
This is the solution to this problem
2^(2x)-27=37
What is 3?
400
This is the equation we use when we have to compound continously.
What is
A=Pe^(rt)
500
Exponential decay is between these two numbers.
What is between 0 and 1.
500
This is how we identify b in an exponential growth equation given the rate (r).
What is b=1+r?
500
Annual sales of a fast food restaurant are $530,000 and increasing at a rate of 5%. This number represents the exponential growth factor.
What is 1.05?
500
This is the name of the Gryffindor's ghost
Who is Nearly Headless Nick?
500
This is the solution to this problem,
3*5^(x/4)-15=60
What is 8?
500
This is how we identify exponential decay when the equation contains e.
The exponent is negative