# precalc unit 1 review

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even function

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## Tags and Description

### 16 Terms

1

even function

f(-x) = f(x)

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2

odd function

f(-x) = -f(x)

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3

end behavior of a positive even function

as x reaches -infinity f(x) reaches infinity

as x reaches infinity f(x) reaches infinity

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4

end behavior of a negative even function

as x reaches -infinity f(x) reaches -infinity

as x reaches infinity f(x) reaches -infinity

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5

end behavior of a positive odd function

as x reaches -infinity f(x) reaches -infinity

as x reaches infinity f(x) reaches infinity

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6

end behavior of a negative odd function

as x reaches -infinity f(x) reaches infinity

as x reaches infinity f(x) reaches -infinity

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7

domain of a rational function

when x ≠ 0

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8

HA limit notation

lim f(x) = HA

x → ± infinity

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9

HA if numerator < denominator

HA = 0

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10

HA if numerator > denominator

no HA, long/synthetic division for slant asymptote

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11

HA if numerator = denominator

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12

When is there a hole in a function?

If a zero is at both numerator and denominator

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13

When is a zero in a function?

When there’s a zero in the numerator only

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14

When is there a VA in a function?

When there’s a zero in the denominator only

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15

VA limit notation

lim f(x) = ± infinity

x → VA^±

^+ = from the right

^- = from the left

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16

Limit notation for holes

lim f(x) = y-value hole is at

x → x-value hole is at^±

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