Unit 3 PreCalc

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*