# Unit 3 PreCalc

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If a function has an even power, then it has symmetry about the ________.

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### 13 Terms

1

If a function has an even power, then it has symmetry about the ________.

y-axis

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2

If a function has an odd power, then it has symmetry about the ________.

origin

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3

An even power and positive coefficient indicates an end behavior of _____.

Both to infinity

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4

An even power and negative coefficient indicates an end behavior of _____.

Both to negative infinity

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5

An odd power and positive coefficient indicates an end behavior of _____.

Infinity to infinity, negative infinity to negative infinity

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6

An odd power and negative coefficient indicates an end behavior of _____.

infinity to negative infinity, and negative infinity to positive infinity

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7

The higher an exponent in a function becomes, the ___ and _______ the function gets.

Steeper, flatter

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8

The degree of a polynomial is 1 (more/less) than the turning points indicated in the graph.

More

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9

If the multiplicity of a factor is an even number, the line _______ through the axis.

Bounces

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10

If the multiplicity of a factor is an odd number, the line _______ through the axis.

Crosses

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11

If the degree of p is greater than the degree of q, what id the asymptote like?

there is no horizontal asymptote.

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12

If the degree of p is less than the degree of q, what is the asymptote like?

Y=0 is the asymptote

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13

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

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