NAME: ______________________________________________
DAY 5
Find the degree, leading coefficient, and end behavior. Then draw a rough sketch.
1.
f(x) = 3x5 + x3 + 10x2 + 4x + 1
2.
Degree: ___________ LC: _________
f(x) = – (x + 1)3 (x – 5)2
Degree: ___________ LC: _________
As x → + ∞ then f (x) → _____
As x → + ∞ then f (x) → _____
As x → − ∞ then f (x) → _____
As x → − ∞ then f (x) → _____
Sketch
Sketch
Find the degree of each function and end behavior.
3.
f(x) = –3x4 + 10x3 + 4x2 + 1
Degree: ___________ LC: _________
4.
f(x) = 2(x + 1)3 (x – 5)
Degree: ___________ LC: _________
As x → + ∞ then f (x) → _____
As x → + ∞ then f (x) → _____
As x → − ∞ then f (x) → _____
As x → − ∞ then f (x) → _____
Sketch
Sketch
5.
Use the graph to answer the questions.
6.
Use the graph to answer the questions.
A.
End Behavior: As
As
A.
End Behavior: As
As
B.
Identify the real zeros of the graph:
B.
Identify the real zeros of the graph:
__________________________________
__________________________________
C.
if
Circle the turning points on the graph. Determine
they are relative maximums or minimums, absolute
maximums or minimums.
C.
if
Circle the turning points on the graph. Determine
they are relative maximums or minimums, absolute
maximums or minimums.
D.
Determine the intervals where the polynomials are
D.
Determine the intervals where the polynomials are
E.
Increasing: ______________________________
Increasing: ______________________________
Decreasing: _____________________________
Decreasing: _____________________________
Determine the domain and range.
E.
Determine the domain and range
Domain: _____________
Domain: _____________
Range: _______________
Range: _______________
.