Question

Let f(x)= eˣ / x³. (d) Find the range of f.

Answer 1

The range of f(x) = eˣ / x³ is (negative infinity, positive infinity).

Step-by-step explanation:

The range of the function f(x) = eˣ / x³ can be determined by analyzing the behavior of the function as x approaches positive infinity and negative infinity. As x approaches positive infinity, both eˣ and x³ increase without bound, so the function also increases without bound. As x approaches negative infinity, eˣ approaches 0 while x³ approaches negative infinity, resulting in the function approaching negative infinity. Therefore, the range of f(x) is (negative infinity, positive infinity).