Mathematical function graphing calculator (two)

Equation 1： Equation 2：
x axis minimum: x axis maximum:
y axis minimum: y axis maximum:
Image grid (x axis): Image grid (y axis):
Image width (pixels, max 700): Image height (pixels, max 700):

The x- and y-axes are equal.

12345-1-2-3-4-5246810-2-4

Drawing method:

Straight line: (e.g.: 3x − 2)

Polynomial: (e.g.: x^3 + 3x^2 − 5x + 2)

Trigonometric function: sin(x), cos(x/2), tan(2x), csc(3x), sec(x/4), cot(x)

Inverse trigonometric function: arcsin(x), arccos(x), arctan(x), arccsc(x), arcsec(x), arccot(x)

Exponential(e^x) and logarithm: (Natural logarithm: ln(x) Base 10 logarithm: log(x)

Absolute value:: such as abs(x)

Hyperbolic and inverse hyperbolic functions: sinh(x), cosh(x), tanh(x), arcsinh(x), arccosh(x), arctanh(x)

Sign (1 if the sign is positive, −1 if the sign of the function is negative. For example, try sign(sin(x)))

You can also plot mathematical functions like this:

ceiling: ceil(x) and round: round(x)

Square rootsqrt(x)

You can mix the above functions like: "ln(abs(x))".

You must use the rules to plot, for example I"2 tan x" can be plotted, but "tan 2x" cannot be plotted. You must write it like this: "tan(2x)".

What is a Mathematical Function Graphing Calculator?

A function graphing calculator is a tool that takes a mathematical function as input and displays its graph on a coordinate plane. The graph represents the relationship between the independent variable (usually denoted as x) and the dependent variable (usually denoted as y or f(x)).

For example, the function f(x)=x2 represents a parabola, and a graphing calculator would plot this curve for different values of x.

Why Use a Graphing Calculator?

  1. Visualization: Graphing a function helps you visually understand its behavior. It shows how the function changes, where it increases or decreases, whether it has any turning points, and where it crosses the axes.

  2. Analysis: A graphing calculator helps in finding important features of a function, such as:

    • Roots/Zeroes: Where the graph crosses the x-axis (where f(x) = 0).
    • Intercepts: Where the graph crosses the y-axis (when x = 0).
    • Extrema: Maximum or minimum points on the graph.
    • Asymptotes: Lines that the graph approaches but never touches (for rational functions).

  3. Learning Tool: It helps students and professionals gain insights into the properties of functions, aiding in learning and teaching mathematics.

  4. Testing Ideas: You can explore how changes in the equation (like adjusting coefficients or powers) affect the graph.