Question

Gianni went backpacking at Bamboo Mountain. Along his trip, he recorded his altitude above sea level over the number of days he had been backpacking. Gianni created a graph to show this relationship. On which interval does the graph show that the function is increasing?

A: 1 < x < 2
B: 2 < x < 4
C: 4 < x < 5
D: 5 < x < 7

Answer 1

This function is increasing on 2 < x < 4.

The correct answer is B.

Answer 2

B: 2 < x < 4

Explanation:

You want to know which of the intervals shows the function is increasing.

Increasing

A function is increasing when its graph has a slope that is up to the right. The given graph is increasing on the intervals (0, 1) and (2, 4). Of these, only the interval (2, 4) is an answer choice.

The graph is increasing for 2 < x < 4, choice B.

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Additional comment

The function is decreasing on the intervals (5, 7) and (8, 9). It is neither increasing nor decreasing (the altitude is constant) on the intervals (1, 2), (4, 5), and (7, 8).

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