Question

For the linear function f(x) = 4 - 0.5x on the given interval (-2, 10), what is the domain?

a) (-[infinity], 10)
b) (-2, [infinity])
c) (-2, 10)
d) (-[infinity], [infinity])

Answer 1

The domain of f(x) = 4 - 0.5x on the given interval (-2, 10) is (-2, 10).

Step-by-step explanation:

The domain of a linear function is the set of all possible input values that the function can accept. In this case, the linear function is f(x) = 4 - 0.5x, and the given interval is (-2, 10).

To find the domain, we need to determine the range of x-values that satisfy the given interval. The interval (-2, 10) means that x is greater than -2 and less than 10, but not including -2 and 10.

Therefore, the domain of f(x) = 4 - 0.5x on the given interval (-2, 10) is (-2, 10).