Studied by 6 people

0.0(0)

get a hint

hint

1

even function

f(-x) = f(x)

New cards

2

odd function

f(-x) = -f(x)

New cards

3

end behavior of a positive even function

as x reaches -infinity f(x) reaches infinity

as x reaches infinity f(x) reaches infinity

New cards

4

end behavior of a negative even function

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

as x reaches infinity f(x) reaches -infinity

New cards

5

end behavior of a positive odd function

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

as x reaches infinity f(x) reaches infinity

New cards

6

end behavior of a negative odd function

as x reaches -infinity f(x) reaches infinity

as x reaches infinity f(x) reaches -infinity

New cards

7

domain of a rational function

when x ≠ 0

New cards

8

HA limit notation

lim f(x) = HA

x → ± infinity

New cards

9

HA if numerator < denominator

HA = 0

New cards

10

HA if numerator > denominator

no HA, long/synthetic division for slant asymptote

New cards

11

HA if numerator = denominator

HA = leading coefficients

New cards

12

When is there a hole in a function?

If a zero is at both numerator and denominator

New cards

13

When is a zero in a function?

When there’s a zero in the numerator only

New cards

14

When is there a VA in a function?

When there’s a zero in the denominator only

New cards

15

VA limit notation

lim f(x) = ± infinity

x → VA^±

^+ = from the right

^- = from the left

New cards

16

Limit notation for holes

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

x → x-value hole is at^±

New cards