Question

Determine whether the graph is the graph of a function.

Answer 1

Answer:

  Yes

Step-by-step 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.

Answer 2

Answer:

        Yes, the graph is the graph of a function.

Step-by-step 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.