is this graph an example of a linear function?

Explanation:

Step1: Recall the definition of a linear function

A linear function is of the form (y = mx + b) ((m) is slope, (b) is y - intercept) and passes the vertical line test.

Step2: Apply the vertical line test

The vertical line test states that for a relation to be a function, any vertical line should intersect the graph at most once. The given graph is a vertical line. A vertical line (x = k) (where (k) is a constant) fails the vertical line test because for a single (x) - value ((x = k)), there are infinitely many (y) - values.

Answer:

No