Question

f(x) = x3 – 3x2 + 10 Domain: ________________________________ Range: ________________________________ x-int: ______________ y-int: ______________ Maxima: _______________________________ Minima: ________________________________ Increasing: _____________________________ Decreasing: _____________________________ Constant: ______________________________ End Behavior: ___________________________ Discontinuities: __________________________ Asymptote: _____________________________ Symmetry: _____________________________Graph:

f(t) = 2t4 – 10t2 + 12.5t Domain: ________________________________ : Range: ________________________________ x-int: ______________ y-int: ______________ Maxima: _______________________________ Minima: ________________________________ Increasing: _____________________________ Decreasing: _____________________________ Constant: ______________________________ End Behavior: ___________________________ Discontinuities: __________________________ Asymptote: _____________________________ Symmetry: _____________________________Graph:

f(x) = 2x4 – 6x2 + 4.5 Domain: ________________________________ : Range: ________________________________ x-int: ______________ y-int: ______________ Maxima: _______________________________ Minima: ________________________________ Increasing: _____________________________ Decreasing: _____________________________ Constant: ______________________________ End Behavior: ___________________________ Discontinuities: __________________________ Asymptote: _____________________________ Symmetry: _____________________________Graph:

f(t) = 2t5 + 4t3 – 11t2 + 6 Domain: ________________________________ : Range: ________________________________ x-int: ______________ y-int: ______________ Maxima: _______________________________ Minima: ________________________________ Increasing: _____________________________ Decreasing: _____________________________ Constant: ______________________________ End Behavior: ___________________________ Discontinuities: __________________________ Asymptote: _____________________________ Symmetry: _____________________________Graph:

Answer 1

Increaing, decreasing values and end behaviours as in below table:

	??<x<0	$x=0$x=0	$0<2$<>0<x<2	$x=2$x=2	$2<\infty$<>2<x<?
$\mathrm{Sign}$Sign	$+$+?	$0$0	$-$?	$0$0	$+$+
$\mathrm{Behavior}$Behavior	$\mathrm{Increasing}$Increasing	$\mathrm{Maximum}$Maximum	$\mathrm{Decreasing}$Decreasing	$\mathrm{Minimum}$Minimum	$\mathrm{Increasing}$Increasing