Is a Straight Line a Function?

No, every straight line is not a graph of a function

graph of a function
An algebraic curve in the Euclidean plane is the set of the points whose coordinates are the solutions of a bivariate polynomial equation p(x, y) = 0. This equation is often called the implicit equation of the curve, in contrast to the curves that are the graph of a function defining explicitly y as a function of x.
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. Nearly all linear equations are functions because they pass the vertical line test.

How do you determine if a straight line is a function?

The vertical line test can be used to determine whether a graph represents a function. If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because a function has only one output value for each input value.

Is horizontal line a function?

Yup. It represents a function that gives the same output no matter what input you give it. Usually written as f(x)=a (so, for instance, f(x)=5 is one such function), and called a constant function.

Robert Thorne

Robert Thorne

Automotive & Future Transportation Editor

Robert Thorne covers electric vehicle innovations, autonomous driving systems, global mobility trends, and automotive engineering developments.