Questions: (-2,4),(-8,5),(0,4),(-1,6),(0,6) Is it a function?

Transcript text: $(-2,4),(-8,5),(0,4),(-1,6),(0,6)$ Is it a function?

Solution

Solution Steps

To determine if a set of points represents a function, we need to check if each input (x-value) maps to exactly one output (y-value). If any x-value is associated with more than one y-value, then it is not a function.

Step 1: List the Given Points

The given points are: \[ (-2, 4), (-8, 5), (0, 4), (-1, 6), (0, 6) \]

Step 2: Extract the $ x $-values

The $ x $-values from the points are: \[ -2, -8, 0, -1, 0 \]

Step 3: Check for Duplicate $ x $-values

To determine if the set of points represents a function, we need to check if any $ x $-value is repeated. The $ x $-values are: \[ -2, -8, 0, -1, 0 \] Here, the $ x $-value $ 0 $ is repeated.

Step 4: Conclusion

Since the $ x $-value $ 0 $ is associated with two different $ y $-values (4 and 6), the set of points does not represent a function.