Problems
Problem :
Predict the end behavior of
f (x) = x
4 - x
3 + 2
.
As
xâÜâàû
,
f (x)âÜâàû
, and as
xâÜ - âàû
,
f (x)âÜâàû
.
Problem :
Predict the end behavior of
f (x) = x
3 - 1
.
As
xâÜâàû
,
f (x)âÜâàû
, and as
xâÜ - âàû
,
f (x)âÜ - âàû
.
Problem :
Predict the end behavior of
f (x) = - 2x
13 - 7x
10 + x
6 -3x
4 + - 14x + 34
.
As
xâÜâàû
,
f (x)âÜ - âàû
, and as
xâÜ - âàû
,
f (x)âÜâàû
.
Problem :
Predict the end behavior of
f (x) = - 3x
2 - x + 1
.
As
xâÜâàû
,
f (x)âÜ - âàû
, and as
xâÜ - âàû
,
f (x)âÜ - âàû
.
Problem :
f (x) = x
3 -2x
2 - 5x + 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.