What is a Constant Function? A constant function is a function having the same range for different values of the domain. Graphically a constant function is a straight line, which is parallel to the x-axis.

This function has no intersection point with the x- axis, meaning it has no root (zero). On the other hand, the polynomial f(x) = 0 is the identically zero function. It is the (trivial) constant function and every x is …

For example, the graph of the constant function f (x) = 4 is a straight, horizontal line that passes through the points (2,4), (0,4), and (-2,4). This graph is shown below.

Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.

Jul 23, 2025 · This means that the graph of a constant function is a horizontal line in the Cartesian plane. Constant functions are important in calculus and algebra because they have a derivative of …

We can draw the graph on the Cartesian plane with value of x on the x-axis and value of y=f (x) on the y-axis. We can plot the point and join the point to obtain the graph.

Dec 7, 2025 · What is a Constant Function? A constant function is defined as a function where the output value is the same for every input value in the domain. No matter what the input is, the output …

The graph of a constant function f (x) = k is a straight line parallel to x-axis which is above or below x-axis according as k is positive or negative. If k = 0, then the straight line is coincident to x-axis.

In general, when f (x) = c; any value selected for x will yield c for the y- value. The graph of a constant function will be a horizontal line intersecting the y-axis at the value of c. It is a line with slope equal to …

Discover what a constant function is and what a constant graph looks like. See different constant function equations and learn to identify them with examples.