Question

Determine whether the graph is the graph of a function.

A coordinate axis is drawn with a line crossing the x axis at negative two and the y axis at negative ten.

Yes
No

Answer 1

Yes, the graph is the graph of a function.

Explanation:

Function--

A function is a collection of all the ordered pair such that each element of the first set is mapped to a single element of the other set.

i.e. each element has a single image.

i.e. no elements of the first set is mapped to more than one element.

Also, the graph of the function passes the vertical line test.

i.e. any line passing through the domain and parallel to the y-axis should intersect the graph at least once.

Hence, from the graph we observe that the graph passes the vertical line test.

Hence, the graph is a graph of a function.

Answer 2

Yes

Explanation:

Unless the line is vertical, the graph of any straight line is the graph of a function.

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A vertical line does not map x to one single y-value, so it does not represent a function. Any other line does map each x to a single y-value, so does represent a function.