Answer:
f definitely takes all the values between 4 and 7.
Step-by-step explanation:
From the data that is given to us, we know that f(x) is continuous on the interval (-3,4). Both values -1 and 3 are inside this interval, so therefore we can say that the function f(x) is continuous on the interval [-1, 3].
The definition of continuous function on an interval [x, y] tells us that the function takes all the values between f(x) and f(y).
Therefore, we can say that f definitely takes all the values between 4 and 7. (f(-1) and f(3))
