Understanding Constant Functions | Definition, Properties, and Graphing

f(x)=c / constant function

A constant function is a type of function where the output value, denoted as f(x), is always the same regardless of the input value x

A constant function is a type of function where the output value, denoted as f(x), is always the same regardless of the input value x. In other words, the value of the function is constant and does not change.

For a constant function, f(x) = c, where c is a fixed constant. This means that no matter what value x takes, the function will always output the constant value c. The graph of a constant function is a horizontal line parallel to the x-axis.

For example, let’s suppose c = 5. Then the constant function would be f(x) = 5 for all values of x. It does not matter if x is 0, 1, -2, or any other number, the function will always output 5.

To understand further, let’s see how the graph of the constant function f(x) = 5 would look like. The graph is a horizontal line passing through the point (0, 5), since the y-value is always 5 regardless of the x-value.

In summary, a constant function is a function where the output value remains the same for all possible input values, and it can be represented as f(x) = c, where c is a constant.

More Answers: