Identify intervals on which the function is increasing, decreasing, or constant.
g(x) = 1 - (x - 7)2

increasing: x < 7; decreasing: x > 7
increasing: x < -7; decreasing: x > -7
increasing: x > 1; decreasing: x < 1
increasing: x < 1; decreasing: x > 1

Increasing in x < 7 and decreasing in x > 7.

Step-by-step explanation:

g(x) = 1 -

If a function is increasing in a interval, its first derivative is positive and if a function is decreasing in an intreval, its first derivative is negative.

Using this concept here,

Substitute x > 7,

the first derivative is negative.Hence it is decreasing in this interval.

Substitute x < 7,

The first derivative is positive.Hence it is increasing in this interval.

Hence the answer is increasing in x < 7 and decreasing in x > 7.

Step-by-step explanation:

the equation is:

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The answer is chosen by:

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