calculus
posted by Terry .
find the intervals on which the function is increasing, decreasing, or constant.
(7,2)(6,2)(5,2)(4,2)(3,2)(2,2)(1,2)(1,3)(3,4)(5,5)

Just check the slope on each interval.
increasing when slope > 0
constant when slope = 0
decreasing when slope < 0
Looks like it's constant at 2 for x in (7,1)
After that, it's increasing with slope = 1/2
Respond to this Question
Similar Questions

increasing and decreasing intervals
Have to find the intervals on which f(x) = 4  sqrt(x+2) is increasing. Also the intervals on which the function is decreasing. TIA Find the derivative of f(x). When the derivative is positive, the function increases as x increases. … 
Calculus
find the intervals where the function is increasing and the intervals where it is decreasing f(x)= (x^3/3)(x^2/2) ok i found its derivative which is (f1(x)=(x1)x my options are increasing a) (0,infinity) b) (1,0) c(infinity,0)U(1,infinity) … 
Calculus
Consider f(x)=200+8x^3+x^4. find the intervals on which function is increasing or decreasing, the local max and minimu values, the intervals of concavity and the inflection points 
Engineering Calculus
f(x)=((6x3)/(x+6)) how do you find the intervals of decreasing and increasing...I found that there were no critical points yet I was also correct that the function increased (I,6) and (6,I). I was wrong that there were no decreasing … 
PreCalculus
Determine the open intervals on which the function is increasing, decreasing, or constant. f(x) = 3 f(x) = x^(2/3) f(x) = x^(3/4) 
Calculus
Find the intervals on which the given function is increasing and decreasing. y=x^22x y'=2x2 critical point x=1 Increasing [infinity,1) Decreasing (1,infinity] is this the correct way of writting this wiht the brackets 
Calculus
Consider the function f(x) = x  lnx. Find the intervals on which f(x) is increasing and the intervals where it is decreasing. Also determine any relative max or min. 
math
Let f(x) = 3+4xx^{3}. Find the open intervals on which f is increasing (decreasing). Then determine the xcoordinates of all relative maxima (minima). 1. f is increasing on the intervals? 
Lauren
Let f(x) = 3+4xx^{3}. Find the open intervals on which f is increasing (decreasing). Then determine the xcoordinates of all relative maxima (minima). 1. f is increasing on the intervals 2. f is decreasing on the intervals 
calculus 1
f(x) = 3x^3  9x + 5 find the: 1) zeroes or undefined values 2) intervals where the function is greater than zero 3) intervals where the function is less than zero 4) coordinates of all maxima and minima 5) intervals where the function …