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If a function has an even power, then it has symmetry about the ________.
y-axis
If a function has an odd power, then it has symmetry about the ________.
origin
An even power and positive coefficient indicates an end behavior of _____.
Both to infinity
An even power and negative coefficient indicates an end behavior of _____.
Both to negative infinity
An odd power and positive coefficient indicates an end behavior of _____.
Infinity to infinity, negative infinity to negative infinity
An odd power and negative coefficient indicates an end behavior of _____.
infinity to negative infinity, and negative infinity to positive infinity
The higher an exponent in a function becomes, the ___ and _______ the function gets.
Steeper, flatter
The degree of a polynomial is 1 (more/less) than the turning points indicated in the graph.
More
If the multiplicity of a factor is an even number, the line _______ through the axis.
Bounces
If the multiplicity of a factor is an odd number, the line _______ through the axis.
Crosses
If the degree of p is greater than the degree of q, what id the asymptote like?
there is no horizontal asymptote.
If the degree of p is less than the degree of q, what is the asymptote like?
Y=0 is the asymptote
if the degree of p equals the degree of q, what does the asymptote look like?
Y= the leading coefficient of p divided by the leading coefficient of q
Note
Flashcard