Concepts from unit
What is an Exponential Function?
What is a mathematical function where a variable appears as an exponent
Exponent
The power to which the base is raised.
What is the asymptote of this equation:
f(x)=(7)2x+3
y = 5
-20
-1
What’s Ms.Whitlows favorite food
Mashed Potatoes
What is a geometric sequence
A geometric sequence is a list of numbers that multiplies by the same number each time.
Asymptote
A line that a curve approaches as it heads toward positive or negative infinity, but never actually crosses (Like a Boundary)
A town has a population of 25,000 people. The population increases by 4% each year. What will the population be after 5 years?
3041.632256
1/6 -2
36
What’s Ms.Whitlows favorite animal
Horse
How is an exponential function identified from a table of values?
An exponential function is identified from a table when the y-values multiply by the same number as the x-values increase by 1.
Growth Factor
The constant multiplier that determines the rate of growth in exponential growth functions.
You invest $1,500 in a savings account with a 3% annual interest rate, compounded yearly. How much will be in the account after 10 years?
2015.874569
1/4 -2
16
What’s one place Ms.Whitlow wants to travel to?(Hint: it's a Continent)
Africa
How are exponential functions different from linear and quadratic functions?
Exponential functions grow by multiplying, while linear functions grow by adding and quadratic functions grow in a curved pattern
Decay Factor
The constant multiplier that determines the rate of decay in exponential decay functions.
Determine what the base of the equation represents:M(t)=200⋅(0.88)t
200 represents the starting value or the base of the equation.
1/2 -2
4
What’s Ms.Whitlows biggest fear
The Ocean
What effect does changing the value of a have on the graph of an exponential function?
Shrink or Stretch the factor
Exponential Decay
The process of decreasing rapidly, often described by an exponential function with a base between 0 and 1.
Suppose that a stock’s price is rising at the rate of 7% per year, and that it continues to increase at this rate. If the value of one share of this stock is $43 now, find the value of one share of this stock three years from now.
y=43(1.07)3 =$52.68
1/3 -2
9
What’s Ms.Whitlows favorite movie or show
New Girl