What is the constant function graph? The constant function can be understood as a particular case of a first degree function, such as the affine function **f(x) = ax + b**, when **a = 0**. A constant function is a function of f : ℝ→ℝ defined as **f(x)** =C. It’s general form can be written as **f(x) = C**, where **C** is a real constant.

## What does the constant function graph looks like?

The graph of a constant function in the form **f(x) = C** is a horizontal straight line that will always intercept the y-axis at the point (0, **C**).

For example, given the function f(x) = 2, the graph will intercept the y-axis at the point (0, 2), as the image below shows.