Question

is the relation {(-6,-2),(-2,6),(0,3),(3,5)} a function? Explain.

Answer 1

how does your material define a function?

Answer 2

your course material should define a function for you in order for you to determine if this is a function or not. this is simply an application of the definition

Answer 3

vertical line test ... is a good indicator of a function.

a simple definition of a function is: for a given value of x, there is only one value of y that corresponds to it.

Answer 4

x y
(-6,-2)
(-2, 6)
( 0, 3)
( 3, 5)

if we have duplicate x values, then we need to chk if they have the same y values.

do we have any duplicate x values?

Answer 5

then by default, there is only one y value for any given x value.

Answer 6

yes :)

spose we had a different setup:

x y
(-6,-2)
(-6, 6)
( 0, 3)
( 3, 5)

notice that this gives us a duplicate x value ... we then compare the y values. are they the same y value?

Answer 7

not quite.

we see that x=-6 is duplicated. if i were to ask you what the y value is when x=-6 ... there is more than one answer.

when x=-6
y = -2 and y=6

Answer 8

:) good luck then