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.

y = 3x+4

step-by-step explanation:

to find the slope

slope = (y2-y1)/ (x2-x1)

    = (-8-4)/ (-4-0)

    = -12/-4

  = 3

using the slope intercept form of a line

y= mx+b

we know the slope is 3

we know the y intercept is 4 ( the point where it crosses the y axis or x=0)

y = 3x+4