Question

On what interval is f increasing? (Enter your answer using interval notation.)

A) (-[infinity], 0)
B) (0, [infinity])
C) [0, [infinity])
D) (-[infinity], 0]

Answer 1

The function f is increasing on the interval (0, [infinity]). The correct answer is B) (0, [infinity]).

Step-by-step explanation:

The question is asking to find an interval on which a function f is increasing. Without the specifics of the function's formula or graph, we cannot definitively select the correct interval. However, here's a general explanation of interval notation, assuming we're determining where a hypothetical function f is increasing:

An interval (-∞, 0) means the function is increasing as x approaches 0 from negative infinity.

The interval (0, ∞) implies the function is increasing as x moves away from 0 towards positive infinity.

Including the endpoint, denoted by square brackets such as [0, ∞), means the function starts to increase at x equals 0 and continues to do so towards infinity.

The answer to the question is

(0, [infinity])

Option B, (0, [infinity]), represents the interval on which f is increasing. This means that as x increases from 0, the function f(x) also increases.