Question

okay so ive got a ton of piecewise function things and I really suck at them so maybe someone wants to help me? :D thanks giving extra pointsss

Answer 1

[] signs mean that the number is included in the domain and () mean that the number is not included. Now,

1. [-1,5)
Because x is greater than or equal to -1 (included) but less than 5 (excluded

2. [-5,13)
When we plug in x = -1, we get the minimum value of -5, which is included because its x-value was included. The, we plug in x = 5 to find the range's maximum and this is excluded because its x-value was excluded.

3. 218
x = 6 lies in the domain of the first function so we will use it to evaluate the value of x = 6. We do this by simply substituting x into the function.

4. 12
x = 9 is included in the domain of the second function and the value of the second function at all  points is 12.

5. 103
x = 10 is included in the domain of the second function so we will use it to evaluate the value of x = 10. This is done by substituting x into the equation.