Question

Identify intervals on which the function is increasing, decreasing, or constant.

g(x) = 1 - (x - 7)2

Answer 1

I give medals!

Answer 2

\[g'(x)=-2(x-7)\]
g(x) is increasing if g'(x)>0
g(x) is decreasing if g'(x)<0

Answer 3

please identify the intervals

Answer 4

so its increasing: x>1, decreasing: x<1 right?

Answer 5

increases if -2(x-7)>0
x-7<0
x<7
decreases if -2(x-7)<0
x-7>0
x>7

Answer 6

Thank-you so much!

Answer 7

yw