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Graphs are an efficient way of visualizing curves and functions.

Let us discuss how to identify the graphs of a linear function.
Linear function:
A function $$f: \mathbb{R} \rightarrow \mathbb{R}$$ defined by $$f(x) = mx + c$$, $$m \neq 0$$ is called a linear function.
The graph of a linear function simply represents a straight line.

Let us further discuss some specific linear functions.
• Identity function
Identity function:
A function $$f: \mathbb{R} \rightarrow \mathbb{R}$$ defined by $$f(x) = x$$, is called an identity function.
In other words, a linear function having an intercept $$c = 0$$ and a slope $$m = 1$$ is called an identity function.

The graphical representation of the identity function is given by:

A function $$f: \mathbb{R} \rightarrow \mathbb{R}$$ defined by $$f(x) = - x$$, is called an additive inverse function.
In other words, a linear function having an intercept $$c = 0$$ and slope $$m = -1$$ is called an additive inverse function.