degrees
the highest power of a polynomial is called the ____
degree
Describe the END BEHAVIOR using 2 words:
2x4 + 5
Even / Positive
For a POSITIVE/EVEN function, as x --> infinity, y --> ______
(positive) infinity
An EVEN function will be symmetric through the _______________
y-axis
origin
the degree of a polynomial is located with the _______ term
leading
Describe the END BEHAVIOR using 2 words:
-3x2 +2x - 1
For a POSITIVE/ODD function, as x --> negative infinity, y--> ______
(negative) infinity
An EVEN function passes through the point (4,5). What other point MUST lie on the graph?
(4,-5)
An ODD function passes through the point (-5,-4). What other point MUST be on the graph?
(5,4)
Name the DEGREE of the following:
-x3 + 3x2 + 1
3
Describe the END BEHAVIOR using 2 words (*hint - check for standard form!)
3x2 - x5 + 1
negative/odd
For a NEGATIVE/EVEN function, as x --> negative infinity, y --> ________
An EVEN function passes through the point (-3,6). What other point MUST lie on the graph?
(3,6)
An ODD function passes through the point (7,3). What other point MUST be on the graph?
(-7,-3)
Name the degree of the following:
3x3 - x5 +2x4 - 2
5
Describe the END BEHAVIOR using 2 words:
(x2 - 8x + 16)(2x+1)
positive/odd
For a NEGATIVE/ODD function, as x--> infinity, y--> ________
negative infinity
TRUE or FALSE:
y = 2x2 - 5 is an EVEN function? Tell why or why not!
TRUE / symmetric over the y-axis
TRUE or FALSE:
y=x is an ODD function? Explain why or why not.
TRUE. Symmetry through the origin.
Name the degree:
(x2 + 13)(2x5 -4)
7
Describe the END BEHAVIOR using 2 words:
(-3x3 +9x2 - 12)(4x2 - 1)(2x)
negative/even
Describe (using LIMIT NOTATION) the end behaviors of the following function:
y = 5x4
x--> infinity, y--> infinity
x--> negative infinity, y--> infinity
TRUE or FALSE:
f(x) = 1/5x3 + x2 + 2? Explain why or why not.
Is the following function ODD / EVEN / or NEITHER?
y = 4x3 - x
Tell how you know!
ODD
symmetric through the origin / opposite x's produce opposite y's