**Problem : **
Predict the end behavior of
*f* (*x*) = *x*
^{4} - *x*
^{3} + 2
.

**Problem : **
Predict the end behavior of
*f* (*x*) = *x*
^{3} - 1
.

**Problem : **
Predict the end behavior of
*f* (*x*) = - 2*x*
^{1}3 - 7*x*
^{1}0 + *x*
^{6} -3*x*
^{4} + - 14*x* + 34
.

**Problem : **
Predict the end behavior of
*f* (*x*) = - 3*x*
^{2} - *x* + 1
.

**Problem : **
*f* (*x*) = *x*
^{3} -2*x*
^{2} - 5*x* + 6
has roots at
*x* = { -2, 1, 3}
. Sketch the
function by predicting its end behavior and
testing the value of the function at x-values between the roots.