Question

Which represents a function?(1 point)Responsesxy-510-35-34005-10 x y -5 10 -3 5 -3 4 0 0 5 -10 xy-124-610-415-818-1224x y -12 4 -6 10 -4 15 -8 18 -12 24xy-8-2-410-2234-4x y -8 -2 -4 1 0 -2 2 3 4 -4xy-2-3-1-20-1001-1

Answer 1

To determine which of the provided pairs of coordinates represents a function, we need to check if each input (x-value) corresponds to exactly one output (y-value). In other words, no x-value should be repeated with a different y-value for it to be considered a function.

Let's analyze the provided data pairs based on the responses you provided:

1. **First set:**
- (-5, 10)
- (-3, 5)
- (-3, 4)
- (0, 0)
- (5, -10)

Here, the x-value -3 is repeated with two different y-values (5 and 4), so this does **not** represent a function.

2. **Second set:**
- (-12, 4)
- (-6, 10)
- (-4, 15)
- (-8, 18)
- (-12, 24)

The x-value -12 is repeated with different y-values (4 and 24), so this does **not** represent a function.

3. **Third set:**
- (-8, -2)
- (-4, 1)
- (0, -2)
- (2, 3)
- (4, -4)

All x-values are unique, so this **does** represent a function.

4. **Fourth set:**
- (-2, -3)
- (-1, -2)
- (0, -1)
- (0, 1)
- (1, 0)

The x-value 0 is repeated with two different y-values (-1 and 1), so this does **not** represent a function.

Based on this analysis, the only set that represents a function is the **third set** of coordinates.