Answer:
Explanation:
The function f is defined on the interval (-2.5, 1.5) as follows:
- For values of x between -2.5 and -1.5 (exclusive), the function f(x) equals -2.
- For values of x between -1.5 and -1.3 (exclusive), the function f(x) equals -1.
- For values of x between -1.3 and 0.5 (exclusive), the function f(x) equals 0.
- For values of x greater than 0.5, the function f(x) is undefined.
Now let's find the values of f(-1.5), f(-1.3), and f(0.5):
- f(-1.5) is equal to 0. This is because -1.5 falls within the interval (-2.5, -1.5) where f(x) equals -2. However, since -1.5 is at the endpoint of the interval, the value of f(x) changes to 0 at this point.
- f(-1.3) is equal to -1. This is because -1.3 falls within the interval (-1.5, -1.3) where f(x) equals -1.
- f(0.5) is equal to 0. This is because 0.5 falls within the interval (-1.3, 0.5) where f(x) equals 0.
Therefore, f(-1.5) = 0, f(-1.3) = -1, and f(0.5) = 0.
It's important to note that for values of x outside of the specified intervals, the function f(x) is undefined.