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Example functions for modeling data

Examples of linear and non-linear functions you can model in the Tuva function editor, with live links.

Reference

Last reviewed: November 2020

You can now model both linear and non-linear functions on Tuva! Here are a few examples of the elementary functions that the function editor supports.

Explore live examples by clicking in the graphing area, or on the link next to the function. (Note: You will need to open the function editor by clicking f(x) in the toolbar above the graphing area. For more detailed instructions on tweaking the parameter, see how to create non-linear models.)

Linear

Section titled “Linear”

y = mx + b  [Check out a live link.]

 A linear function fit to temperature-change-over-time data

Inverse

Section titled “Inverse”

y = k/x  [Check out a live link.]

 An inverse function fit to volume-versus-pressure data, curving steeply toward the axes

Quadratic

Section titled “Quadratic”

y = x2  [Check out a live link.]

A quadratic function fit to kinetic-energy-over-time data, forming a parabola 

Power Law

Section titled “Power Law”

y = xp [Check out a live link.]

A power-law function fit to year-length-versus-orbit-radius data 

Square Root

Section titled “Square Root”

y = √x  [Check out a live link.] 

A square-root function fit to bundle-circumference-versus-number-of-straws data 

Exponential

Section titled “Exponential”

y = bx2 [Check out a live link.] 

An exponential function fit to number-of-transistors-on-a-chip-over-time data 

Sinusoidal

Section titled “Sinusoidal”

y = sinx  [Check out a live link.] 

A sinusoidal function fit to high-tide-versus-day-of-moon-cycle data

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