Question

Determine whether the graph is a function.

Answer 1

Draw a line parallel to y-axis if it cuts the graph at only one point then this graph is of a function

Answer 2

Can you explain more please?

Answer 3

Okay first draw a line parallel to y-axis which intersect the graph

Answer 4

Do it intersect the graph more than once?

Answer 5

no

Answer 6

Hence this graph depicts a function

Answer 7

Even with pi?

Answer 8

By definition, a function is a relation that assigns any input to exactly one output.

By drawing arbitrary vertical lines and checking that the graph of the relation intersects any such line at most once you can graphically verify that the relation is indeed a function. If a vertical line were to intersect more than once, then that would mean the relation assigns an input to more than one outputs, which violates the definition of a function.

Answer 9

Thank you