Question

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)

Answer 1

Option A. (1,9)

Answer 2

Option A. (1,9)

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