1. What is a Function Plotter?

A function plotter is a tool that visually represents mathematical functions by graphing the relationship between input (x) and output (y) values. It helps in understanding the behavior of mathematical functions.

2. How Does the Calculator Work?

The calculator evaluates the function for each x value in the specified range and plots the resulting (x,y) points on a graph:

Where:

• \( x \) — Input value (independent variable)
• \( f(x) \) — Mathematical function of x
• \( y \) — Output value (dependent variable)

3. Supported Functions

Basic operations: +, -, *, /, ^ (exponentiation)
Trigonometric: sin(x), cos(x), tan(x)
Logarithmic: log(x), ln(x)
Other: sqrt(x), abs(x)
Constants: pi, e

4. Using the Calculator

Steps:

1. Enter your function in terms of x (e.g., "x^2", "sin(x)", "2*x+3")
2. Set the range of x values to plot (min and max)
3. Set the step size (smaller steps = smoother curve)
4. Click "Plot Function" to generate the graph

5. Frequently Asked Questions (FAQ)

Q1: Why isn't my function plotting correctly?
A: Check your syntax - use * for multiplication (e.g., 2*x not 2x) and ^ for exponents (e.g., x^2).

Q2: What if I get an error message?
A: The function may be undefined for some x values (e.g., log(0)). Try adjusting your range.

Q3: How can I plot multiple functions?
A: Currently this plots one function at a time. For multiple functions, plot them separately.

Q4: What's the ideal step size?
A: For smooth curves, use 0.1 or smaller. For faster rendering with less detail, use larger steps.

Q5: Can I plot parametric or polar functions?
A: This calculator only plots standard y = f(x) functions.