Letf(x)=3x

3

+3x

2

f

(

x

)

=

3

x

3

+

3

x

2

. Answer the following questions and use your answers to sketch the function. Enter 'N' if no such values exist.

[5 points} Letx} = 3x3 + 3x2. Answer the following questions and use your answers to sketch the function. Enter 'N' If no such values exlat. List the I-'Jlua of any x-lntercepta of f : :] Give the y-value of the y-lntercept of f : :] List the x-valuea of any vertlcal asymptotea of f : E Evaluate the following llrnlte: ijnt for) = E 11:11 f(x) = :] .rmo xhco List the y-valuea of any horizontal aavmptotes of f : E Find the Intervals on which f Is Increaalng or decreasing. Enter your answer as an interval or union at intervals. Use a capital letter 'U' for union. Enter '{ }' it no such Intervals exist. lncreaalng: Decreaslng: List the coordinates of any local extrema in the form (a, b]. separated by commas. Enter 'N' it there are none. .......... ........... Find the Intervals ch which 3' la ccncave up or concave dcwn. ma m List the coordinates cf any points cf Inecticn In the term (a, b], separated by commas. Ehter 'N' If there are none