Question

Select all of the following that are ordered pairs of the given function.

f(x) = 3 - 2x

(-2, -1)
(-1, 5)
(0, 3)
(1, 0)
(2, -1)

Answer 1

The answers are: (-1, 5), (0, 3), (2, -1)


F(x) = 3 - 2x can be expressed as y = 3 - 2x.
Now, let's substitute points from each choice to see which one is true.

1. (-2, -1)
x = -2, y = -1
y = 3 - 2x
-1 = 3 - 2 * (-2)
-1 = 3 - (-4)
-1 = 3 + 4
-1 ≠ 7 - not correct

2. (-1, 5)
x = -1, y = 5
y = 3 - 2x
5 = 3 - 2 * (-1)
5 = 3 - (-2)
5 = 3 + 2
5 = 5 - correct


3. (0, 3)
x = 0, y = 3
y = 3 - 2x
3 = 3 - 2 * 0
3 = 3 - 0
3 = 3 - correct

4. (1, 0)
x = 1, y = 0
y = 3 - 2x
0 = 3 - 2 * 1
0 = 3 - 2
0 = 1 - not correct

5. (2, -1)
x = 2, y = -1
y = 3 - 2x
-1 = 3 - 2 * 2
-1 = 3 - 4
-1 = -1 - correct