Question

The interval in which the function f defined by f(x) = e^x is strictly increasing is ______.

Options

• (1, ∞)

• (−∞, 0)

• (−∞, ∞)

• (0, ∞)

Answer 1

The interval in which the function f defined by f(x) = e^x is strictly increasing is (−∞, ∞).

Explanation:

`y = e^x => dy/dx = e^x`

In the domain (R) of the function, `dy/dx > 0`, hence the function is strictly increasing in (−∞, ∞).