Explore BrainMass

Explore BrainMass

    Functions and their graphs

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    1. f(x)=X3-3X2+5 (-1,3)

    I need to find local Maxima and Local Minima for this Question. Also determine where the function is increasing and where it is decreasing. round answer to two decimal places.

    2. g(x)= X2+1
    (a) Find the average rate of change from -1 to 2.
    (b) Find an equation of the secant line containing (-1,g(-1) ) and (2,g(2) ).

    3. If f(x)= -3x if x<-1
    0 if x= -1
    2x2+1 if x>-1
    Find (a) f(-2) (b) f(-1) (c) f(0)
    For above question sketch the graph of each function. Be sure to label 3 points on the graph.

    © BrainMass Inc. brainmass.com March 4, 2021, 10:22 pm ad1c9bdddf
    https://brainmass.com/math/graphs-and-functions/functions-graphs-326054

    Solution Preview

    1. f(x)=X^3-3X^2+5

    I need to find local Maxima and Local Minima for this Question. Also determine where the function is increasing and where it is decreasing. round answer to two decimal places.

    Solution:

    To find the critical points, find f'(x) and equate it to 0.

    f'(x) =

    Put f'(x) = 0
    = 0
    3x(x - 2) = 0
    =>x = 0, 2
    Let us check for maxima or minima

    Let us find f"(x)
    f"(x) = 6x - 6
    f"(0) ...

    Solution Summary

    Functions and their graphs are evaluated. An equation of the secant line containing a function are determined.

    $2.49

    ADVERTISEMENT