Answer:
[0, 8)
Step-by-step explanation:
To find the range, compute the values of the function at the edges of the interval.
The interval edges are -1 and 3
f(x = -1) = (-1)² - 1 = 1 - 1 = 0.
f(x = 3) = 3² - 1 = 9 - 1 = 8 but does not include 3 so
so range of f(x) : 0 ≤ f(x) < 8
Note that we cannot have f(x) ≤ 8 only < 8 since the interval does not include x = 3
Range in interval notation is [0, 8)
The use of the square brackets on the left means the number is included in the interval; so 0 is included ( ≥ ).
The round brackets on the right mean that the number is not include (< 8 )
