SOLUTION: Let f(x) = x^2 + 18x + 83. On what interval is the function decreasing?

Algebra.Com
Question 872968: Let f(x) = x^2 + 18x + 83. On what interval is the function decreasing?
Found 2 solutions by psbhowmick, ewatrrr:
Answer by psbhowmick(878)   (Show Source): You can put this solution on YOUR website!



For f(x) to be decreasing, f'(x) < 0 i.e. i.e. x < -9

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
f(x) = x^2 + 18x + 83
f'(x) = 2x + 18 , 2(x+ 9) > 0 when x > -9
decreasing (−∞, -9)

RELATED QUESTIONS

Let f (x) = x2 + 18x + 84. (a) Find the vertex. Answer: ________ (b) State the range of (answered by ikleyn)
Let f (x) = x^2 + 18x + 84 (a) Find the vertex. Answer: ________ (b) State the range... (answered by ikleyn)
suppose the function y=f(x) is decreasing on the interval (-2,7). Over what interval is... (answered by math_tutor2020)
19. Let f (x) = x^2+14x + 50. (a) Find the vertex. Answer: ________ (b) State the range (answered by josgarithmetic)
y=f(x) is decreasing on the interval (-2,7). what interval is the graph of y=f(x+2)... (answered by MathLover1,ikleyn)
Suppose that the function y=f(x) is decreasing on the interval (-2,7). Over what interval (answered by ikleyn,MathLover1)
f(x)=x^2+6x+4 1. Find the vertex 2. State the range of the function 3. On what... (answered by lwsshak3)
Use a graphing calculator to find the intervals on which the function is increasing or... (answered by Boreal)
Let g(x) = {{{ - x^4 + 13x^2 - 36}}} what are the four (answered by ewatrrr)