calculus 1
posted by i .
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 is increasing
6) intervals where the function is decreasing
i'm not sure how to find this information using the equation. can someone help and explain? i'm allowed to use a graphic calculator.

graph it, and the graph will answer all those questions.
I am not certain how far you are in calculus. You can get them all analytically, also. Try your calculator first. 
1) 1.3170051, 0.64500159, 1.962007
2) when x>1 and x= 0,1
3) when x<1 and x=1
4) ???
5) x<1 x>1
6) x<1
is this correct? and i'm not sure how to find the maxima and minima 
maxima and minima are where f' = 0
f = 3x^3  9x + 5
f' = 27x^29 = 9(3x^21)
so, when 3x^21 = 0, f has a max or a min.
Respond to this Question
Similar Questions

calculus
For x including [–15, 13] the function f is defined by f(x)=x^7(x+4)^6? 
Math
For x [–14,13] the function f is defined by f(x)=(x^3)(x+6)^4 On which two intervals is the function increasing (enter intervals in ascending order)? 
mathcalc
for x (12, 10) the function f is defined: f(x)=x^7(x+2)^2 On which two intervals is the function increasing (enter intervals in ascending order)? 
calculus
Find the extreme values of the function for the given intervals. 2x^3 – 21x^2 + 72x a) [0,5] b) [0,4] I have both the minimum values for both intervals which is 0. But I am unable to find the maximum. please help!!! 
calculus
For x ∈ [−12, 10] the function f is defined by f(x) = x7(x + 1)4 On which two intervals is the function increasing (enter intervals in ascending order)? 
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 
math
. Given the following function, f(x)=x^2 8x find: (a) vertex, (b) axis of symmetry, (c) intercepts, (d) domain, (e) range, (f) intervals where the function is increasing, (g) intervals where the function is decreasing, and (h) the … 
Calculus
Consider the function f(x)=ln(x)/x^6. For this function there are two important intervals: (A,B] and [B,∞) where A and B are critical numbers or numbers where the function is undefined. Find A Find B For each of the following … 
calculus
For the function f(x)=x^3e^x, determine intervals of increase and decrease and the absolute minimum value of f(x) To do this I found the derivative which is f'(x)=3x^2e^x. Then I set it to zero: f'(x)=0 0=3x^2e^x How would I isolate … 
math
x^2  4 What are the: Intervals on which the graph is above the x axis Intervals on which the graph is below the x axis Intervals on which the function is increasing Intervals on which the function is increasing Im not sure how to …