Can someone help me please? I need to find which of these is a function and I have no clue which is the answer.

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1 Answer
Jun 26, 2018

Only the fourth example is a function.

Explanation:

What you need to look at is whether there are any values of the independent variable #x# which map onto more than one dependent variable #y#. To be a function there can not be any duplication,

In the first example
#color(white)("XXX")3# is mapped onto both #-5# and #0#
So it is not a function.

In the second example
#color(white)("XXX")-1# is mapped onto both #-11# and #5#
So it is not a function.

In the third example
#color(white)("XXX")3# is mapped onto both #14# and #19#
So it is not a function.

In the fourth example
#color(white)("XXX")#There is no place where two points (values of #y#)
#color(white)("XXX")#are identified (mapped from) any value of #x#
So it is a function.