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The graph shows the height(t) of a model rocket t seconds after it is launched from the ground at 48 feet per second. Where is the height of the rocket increasing? Where is it decreasing?

A. The height of the rocket is always decreasing

B. The height of the rocket is always increasing

C. The height of the rocket is increasing when 0< t < 3 and decreasing when 3 < t < 6.

D. The height of the rocket is increasing when 3 < t< 6 and decreasing when 0 < t < 3

The Graph Shows The Heightt Of A Model Rocket T Seconds After It Is Launched From The Ground At 48 Feet Per Second Where Is The Height Of The Rocket Increasing class=

Sagot :

The height of the rocket is increasing when 0< t < 3 and decreasing when 3 < t < 6.

Option C is correct.

Increasing function:

From the graph,

It is observed that , In interval 0< t < 3 , slope of graph is positive. Therefore, the height of the rocket is increasing

It is observed that , In interval 3 < t< 6 , slope of graph is negative. Therefore, the height of the rocket is decreasing.

Therefore, option C is correct.

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