What is the graph of y = 2x ? A linear function is a function of f : ℝ→ℝ defined as f(x) = a.x, where a is a real number and a ≠ 0. All functions written as f(x) = a.x are written in the standard form.
What is the linear function graph?
The graph of a linear function is a straight line that crosses the origin, thus, the point (0 ; 0). The a coefficient indicates the slope or steepness of the line. the higher de a coefficient, the more steep the graph line will be.
How to plot the graph of y=2x linear functions?
To plot the graph of a linear function, it is necessary to know, at least, two points. One of the points is (0 , 0) and the other can be calculated, as the following example:
Given the function f(x) = 2.x
To be easier, one can build a table by giving values to x and calculate de values of f(x), obtaining points to plot the graph. One point is already known, is the (0, 0) point.
if x = 1 then, f(x) = 2
Linear functions can be increasing ou decreasing. To know this, one just has to identify the signal of the a coefficient. If a is positive, the function will be increasing. If a is negative, the function will be decreasing.