The graph shows y as a function of x. suppose a point is added to this graph. which choice gives a point that preserves the function, meaning it will keep the graph a function ?

a. (1,9)
b. (8,9)
c. (-3,3)
d. (-6,5)

Option A. (1,9)

Step-by-step explanation:

we know that

A function is a relation from a set of inputs (independent variable) to a set of possible outputs (dependent variable) where each input is related to exactly one output.

so

Verify each case

case a) (1,9)

This point preserves the function

because, each input is related to exactly one output

For x=1, y=9

case b) (8,9)

This point not preserves the function

because, each input is not related to exactly one output

For x=8, y=9 and y=-3

case c) (-3,3)

This point not preserves the function

because, each input is not related to exactly one output

For x=-3, y=3 and y=4

case d) (-6,5)

This point not preserves the function

because, each input is not related to exactly one output

For x=-6, y=5 and y=-3

bottom left

step-by-step explanation:

the x's and the y's both go up the same amount each time, therefore it will be a linear function because it will go in a straight line when drawn on a graph.

hope this !