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 …

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 …

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.

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Nov 27, 2025 · Determine whether f(x) = − 5 is a constant function and describe the characteristics of its graph. Check if the function f(x) = x − x is an identity function.

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 3, 2025 · A constant function is function whose value does not change as its parameters vary. The function graph of a one-dimensional constant function is a straight line.

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 …

Dec 16, 2024 · Here c is a constant. Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, …