Function Table Calculator

A table of values lists a function's outputs for a set of inputs, and is the first step in drawing a graph by hand. This calculator evaluates any function of x from a start value to an end value in equal steps, lists the results exactly where possible, and plots every point.

Try:

How to use the function table calculator

  1. Type the function, such as x^2 - 2x - 3.
  2. Choose where x starts and ends, and the step size.
  3. Press Calculate to see the table and the graph.

Formula

y=f(x)y = f(x)

Worked example: x² − 2x − 3 from −2 to 4

  • f(x) =: x^2 - 2x - 3
  • x from: -2
  • x to: 4
  • Step: 1

✓ Answer checked

f(x)=x2−2x−3f(x) = x^{2} - 2x - 3
x = -2
55
x = -1
00
x = 0
−3-3
x = 1
−4-4
x = 2
−3-3
x = 3
00
x = 4
55
−3−2−112345−5510y = f(x)
Each row of the table is a point on the graph.
Step-by-step working (2 steps)

  1. Read the function

    This is how the input was understood.

    f(x)=x2−2x−3f(x) = x^{2} - 2x - 3

  2. Substitute each x-value

    Start at x = -2 and add 1 each time.

    f(−2)=5,f(−1)=0,f(0)=−3,  …f(-2) = 5,\quad f(-1) = 0,\quad f(0) = -3,\; \ldots
How this was checked
  • ✓ Evaluating the original (unsimplified) expression gives the same values.

Frequently asked questions

How do I make a table of values?

Choose some x-values, substitute each into the function, and write down the result next to it.

Can I use π in the range?

Yes. For example, x from 0 to pi with step pi/6 works for trigonometric functions.

What if the function is undefined at a value?

That row shows 'undefined', and no point is plotted there.

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