Question

What is the range of the function f(x)=ex+cex? Assume that c is a constant greater than zero.

A. 0B. −1C. 1D. −1

Answer 1

The range of the function f(x) = ex + cex, where c is a constant greater than zero, is (0, +∞).

Step-by-step explanation:

The range of the function f(x) = ex + cex, where c is a constant greater than zero, depends on the values of c. Since the function contains both ex and cex, the range can vary. Let's analyze different scenarios:

1. If c = 0, then the function reduces to f(x) = ex. The range of ex is (0, +∞), which means all positive real numbers.
2. If c > 0, then both ex and cex are positive for any value of x. Therefore, the range of f(x) = ex + cex is also (0, +∞).

Based on these scenarios, we can conclude that the range of the function f(x) = ex + cex, where c is a constant greater than zero, is (0, +∞).