Can You Create a Function that Triples Every 7 Starting at 20?

  • Thread starter jared89
  • Start date
  • Tags
    Function
In summary, to find a solution to the given problem, you can use the exponential function in a general form and fit it to the two conditions. Alternatively, you can write the conditions as f(0)=20 and f(7x)=2f(x), take the derivative of the second one, and use it in the original equation. This will result in a first order differential equation which can be solved using the exponential function. By using the first equation as a boundary, you can obtain the desired function.
  • #1
jared89
1
0
write a function that starts at 20 and triples every 7
 
Physics news on Phys.org
  • #2
I'm sure you have just learned about exponential functions!

Utilize that knowledge to find a solution to your problem.
 
  • #3
Hello jared89, welcome to the forum

You could use the exponential function in a general form and start fitting it to the two conditions you have, however there is a slightly more advanced way. Write out the two conditions as:

[tex]f(0)=20[/tex]
[tex]f(7x)=2f(x)[/tex]

Take the derivative of the second one and use in it the original again. You will end up with a first order differential equation giving as solution the exponential function. Using the first equation as boundary gives then the function you are looking for.

Can you do this?
 

FAQ: Can You Create a Function that Triples Every 7 Starting at 20?

What is a function?

A function is a mathematical concept that assigns a unique output value to each input value. It is often represented as f(x) where x is the input and f(x) is the output.

How do you find a function from a graph?

To find a function from a graph, you need to identify the relationship between the input and output values. This can be done by looking at the pattern of the graph and determining if it follows a specific shape or formula.

What is the process for finding a function from a set of data?

To find a function from a set of data, you can use a variety of methods such as creating a scatter plot, fitting a curve to the data, or using regression analysis. The best method to use will depend on the type of data and the desired level of accuracy.

What is the importance of finding a function in scientific research?

Functions are essential in scientific research as they allow us to understand and predict relationships between variables. They are often used to model natural phenomena, make predictions, and test hypotheses.

Can a function have more than one input or output?

Yes, a function can have multiple inputs and outputs. These are known as multivariable functions. For example, a function that calculates the area of a rectangle would have two inputs (length and width) and one output (area).

Similar threads

Back
Top