Question

What is the domain and range of the function for (f(x) = 3333.22 times 33ˣ)?

A. ((- infty, infty)), ((0, infty))

B. ((0, infty)), ((- infty, 0))

C. ((- infty, 0)), ((- infty, infty))

D. ((1, infty)), ((1, infty))

Answer 1

The domain of the exponential function is (-∞, ∞) and the range is (0, ∞).

Step-by-step explanation:

The function f(x) = 3333.22 * 33^x is an exponential function. The domain of an exponential function is always (-∞, ∞), as there are no restrictions on the values that x can take. So, the domain of this function is (-∞, ∞).

The range of an exponential function depends on the sign of the base. If the base is positive, like in this case, the range is (0, ∞), meaning that the function will always produce positive values. Therefore, the range of this function is (0, ∞).

So, the correct answer is A. ((-∞, ∞)), ((0, ∞)).