To determine the range of the given function represented by the set of points, we first need to identify the values of the dependent variable, which is typically the second coordinate of each point (the \(y\) values).
The points you've provided are:
- (5, –4)
- (1, 5)
- (–10, –8)
- (9, –6)
- (–1, 9)
Now we can list the \(y\) values:
- For (5, –4), the \(y\) value is –4.
- For (1, 5), the \(y\) value is 5.
- For (–10, –8), the \(y\) value is –8.
- For (9, –6), the \(y\) value is –6.
- For (–1, 9), the \(y\) value is 9.
Now, we collect these \(y\) values:
- –4
- 5
- –8
- –6
- 9
The range of the function is the set of these \(y\) values. To present it in a more standard form, we can order the \(y\) values from lowest to highest:
- –8, –6, –4, 5, 9
Thus, the range of the function is: \[ { -8, -6, -4, 5, 9 } \]
1 answer