Graphs
Set the axes, type a function such as 2x − 1 or x^2, and read its values. The worksheet and the board get the same graph.
Settings
The graph
Type a function of x, with or without y = in front. Add up to three; each has its own colour.
Table of values
Use it in class
The worksheet and the board get exactly what is set now. You can edit the worksheet before printing, and its answer key comes on a separate page. On the board everything stays editable, and nothing is added to a live lesson.
How to use it
- Set the range of each axis; the grid's steps adjust to it.
- Type a function of x, such as 2x − 1, x^2 − 3 or 1/x. Undefined values and asymptotes leave gaps, never false lines.
- Move the pointer over the graph to read a point; the table of values gives the same numbers as text.
- For class: put the graph on the board, where its range and functions stay editable, or print graph paper or a table to complete, with its key on a separate page.
Worked examples
A straight line from a table
For y = 2x − 1: x = 0 gives −1, x = 1 gives 1, x = 2 gives 3. Each step of 1 in x adds 2 to y, so the points lie on a straight line through (0, −1).
Why 1/x has two branches
1/x has no value at x = 0, and close to 0 it becomes very large, positive on the right and negative on the left. The graph is drawn in two separate pieces: joining them would show a value that does not exist.
Quick reference
- In both notations x grows to the right and y upwards; only the axis names (x, y or س, ص) and the digits change.
- A function has one value of y for each x where it is defined.
- Undefined: division by zero, the square root of a negative number, the logarithm of zero or of a negative number.
- Trigonometric functions use radians here: sin x repeats every 2π, about 6.28.
Sources
The plotting is standard school graphing. The page computes every value itself, samples each curve finely and breaks it where it is undefined or jumps across an asymptote; automated tests check the breaks for 1/x and tan x.