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CalcTree
This calculator graphs a user-specified function on a cartesian plane. It also tabulates the x and y values in a specified range.


Calculation

Inputs



Function
:x**2



Minimum x-value
:-10.00



Maximum x-value
:10.00



Number of points
:30


📝 Guide on Python notation

Output

Graph

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Tabulated x and y values

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Explanation

What is a function?

A function establishes that for each value of x, there is a corresponding value of y under an explicit rule or formula. We can say, by definition, that "y is a function of x". Mathematically this is written as:

y=f(x)y = f(x)
This calculator's inputs can be mathematically expressed as:

y=f(x)=[function] ,[min. value]x[max. value]y=f(x)=[\text{function}]\ , [\text{min.\ value}] \le x \le [\text{max.\ value}]
Where:
  1. Function is the equation y as a function of x. Use Python notation in this calculator
  2. Minimum x-value is the minimum value of x in it's range
  3. Maximum x-value is the maximum value of x in it's range
  4. Number of points is the number of points to be plotted

What is the cartesian coordinate plane?

The cartesian coordinate plane is a 2-dimensional area with two perpendicular numbered axes to specify a location. The horizontal line is called the "x-axis", while the vertical line is called the "y-axis". An x-value and a y-value can describe a location

, also called a "point". The intersection of these two axes is called the "origin", where both x and y are equal to zero. The coordinate axes divide the plane into four regions called quadrants.
Cartesian coordinate plane, showing the x & y sign convention in each of the four quadrants


Common Types of Functions

Discover common types of functions in the toggles below.

Linear Function

Quadratic Function

Power Function

Polynomial Function

Exponential Function

Logarithmic Function

Sinusoidal Function



Related Resources

  1. 🔗 Polar-Cartesian Coordinate Converter
  2. 🔗 Poisson Distribution Calculator
Check out our full library of CalcTree templates here!



References

  1. AMSI (2013). Functions I - A guide for teachers (Year 11 - 12). Education Services Australia. Available at: https://amsi.org.au/ESA_Senior_Years/PDF/Functions12b.pdf
  2. AMSI (2013). Functions II - A guide for teachers (Year 11 - 12). Education Services Australia. Available at: https://amsi.org.au/ESA_Senior_Years/PDF/Functions22c.pdf
  3. Hoib, E. (2018). The Algebra Help e-Book. Section 5.2. Available at: https://openbooks.library.umass.edu/p132-lab-manual/chapter/review-of-the-types-of-graphs/