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List the intervals on which the function is INCREASING , DECREASING and CONSTANT

List the intervals on which the function is INCREASING , DECREASING and CONSTANT-example-1
User Remy Boys
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1 Answer

20 votes
20 votes

We identify the behaviour of the function by looking at the slope m of the curve:

• m > 0 → increasing,

,

• m = 0 → constant,

,

• m < 0 → decreasing.

Looking at the graph, we see that:

From the graph, we see that:

• increasing: (-∞, -7), (-2, -1),

,

• constant: (-5, -2), (-1, +∞),

,

• decreasing: (-7, -5).

Answer

The intervals are:

• increasing: (-∞, -7), (-2, -1),

,

• constant: (-5, -2), (-1, +∞),

,

• decreasing: (-7, -5).

List the intervals on which the function is INCREASING , DECREASING and CONSTANT-example-1
User Jpalm
by
3.2k points