45.3k views
4 votes
Please help quickly ​

Please help quickly ​-example-1
User Itsben
by
5.2k points

1 Answer

5 votes

Answer:

Figure J does not show y as a function of x ⇒ D

Explanation:

y is a function of x if and only if every x has only one value of y

Let us check each given figure if it shows a function or not

#Figure F

∵ Every value of x has an arrow is pointed to one value of y

∴ Every x has only one value of y

∴ The figure shows y as a function of x

#Figure G

∵ The ordered pairs have different values of x-coordinates

∴ Every x-coordinate has only one value of y-coordinate

∴ The figure shows y as a function of x

#Figure H

∵ Every x in the table appears once

∴ Every x has only one value of y

∴ The figure shows y as a function of x

#Figure J

∵ The ordered pairs were drawn in the figure are (-3, -2), (-3, -3), (-2, 0),

(-2, -1), (-1, 1), (-1, 2), (0, 3), (0, 4)

∵ x = -3 has two values of y, y = -2 and -3

∵ x = -2 has two values of y, y = 0 and -1

∵ x = -1 has two values of y, y = 1 and 2

∵ x = 0 has two values of y, y = 3 and 4

∴ Every x-coordinate has more than one value of y-coordinate

Figure J does not show y as a function of x

User Siz S
by
5.0k points