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My Three FunctionsBy David Bishop
The Square Root Function
The Square Root Function
xxf )(
Used http://rechneronline.de/function-graphs/ to get the graph.
x f(x)0 01 12 1.4142135623 1.7320508084 25 2.2360679776 2.4494897437 2.6457513118 2.8284271259 310 3.16227766
The Square Root Function
Variables Domain and range
x is the independent variable◦ x determines the output
of the square root function.
f(x) or y is the dependent variable◦ We need to know what x
is before we can know f(x) or y.
Domain◦ All nonnegative real
numbersRange
◦ All nonnegative real numbers
xxf )(
The Fibonacci Function
The Fibonacci Function
nFPicture and equation from http://www.fibonacci.name/
The Fibonacci Sequence• A series of numbers that start with 0,1• The next number in the series is always
determined by the sum of the previous two numbers
The Fibonacci Function• Returns the nth number of the Fibonacci
Sequence
Leonardo Pisano Bigollo (Fibonacci)
The Fibonacci Function
Variables Domain and range
n is the independent variable
F(n), the Fibonacci number, is the dependent variable◦ We need to know what n
is in order to know what Fibonacci number to obtain.
Domain◦ All nonnegative integers
Range◦ The numbers of the
Fibonacci sequence: 0,1,1,2,3,5,8,13…
nF
The Fibonacci Function
n F(n)0 01 12 13 24 35 56 87 138 219 3410 55
0 2 4 6 8 10 120
10
20
30
40
50
60
Fibonacci Function
n
F(n
)
The Fibonacci Function
Some Uses of the Fibonacci Function
• Primarily used in a branch of mathematics known as Number Theory
• The financial world uses Fibonacci numbers to study trends in the market.
• Some patterns in nature have been found to be connected to the Fibonacci sequence
The Visitors Function
The Visitors Function
Hoping For Something To Hope For• An amateur blog• Subjects covered include movies, music, and
television• Established in January 2008• Member #149 of the
Large Association of Movie Blogs
The Visitors Function
Hoping For Something To Hope For• A record has been made of the number of visitors to the blog each day.
•We can plot the total number of visitors for each month.
Visitors Per Month
The Visitors Function
Variables Domain and Range
Time is the independent variable
The number of visitors is the dependent variable
Domain◦ All months that the
website is/was online.Range
◦ Almost all nonnegative integers Limited by population
and days in a month
The Visitors Function
Jun-08 Sep-08 Dec-08 Mar-09 Jul-09 Oct-09 Jan-10 May-10 Aug-10 Nov-100
500
1000
1500
2000
2500
3000
Visitors per Month
Month
Num
ber
of
vis
itors
Jun-08 Sep-08 Dec-08 Mar-09 Jul-09 Oct-09 Jan-10 May-10 Aug-10 Nov-100
500
1000
1500
2000
2500
3000
Visitors per Month (with trendline)
Month
Num
ber
of
vis
itors
