1 1 Rates of change and the slope
of a line
SECANT A line thatconnects twopointson a curve aka average rate of changelitroc
mearoc ya y
nn I f
A
TANGENT A line thattouches the curve at onepointincloseproximity aka instantaneous rate of changearoc
2 points veryclosetogether
IN ca fears lath flatni
I
oooo
something
qq.gg
1.2 Rates of change
usingequations
Roc Flath Fia Different Quotient
lathirat
getitas too
c lose
flam na i nto
n
Find slopeof tangentto renren.tn at no
m tenth ten
inthis inthis uan
n
hatpinmin
n'taunt
inimith
h no isafactor f becausewhenyouplugin oyougetg
aunt scanuseonownnotin denominator
let no
anti cequationofeveryslopeonacurve
mote
accurate
For u 3
m scat
1.3 Limits
himfine exists if
, I ftp.tinlexists
2him
fansexists
3
iiamtinklingten
A piecewisefunction is a function madeupof two or morefunctionseachhaving its specific intervalwiththedomain
to
a
I
3
one
6
b
b
b
3
one
to
one
ALGEBRAisany
substitutea intofins if its afinitevaluethat'sthelimit
himisna su sistasis
as
o
i cases
14 4
1
him in a Fi one
constant
If youget o thenyouneedtotakelimitseparately fromleftandrightside
is
certain
it right
limit
Is I
him siz.co
zooa cases
m aim swoon
of a line
SECANT A line thatconnects twopointson a curve aka average rate of changelitroc
mearoc ya y
nn I f
A
TANGENT A line thattouches the curve at onepointincloseproximity aka instantaneous rate of changearoc
2 points veryclosetogether
IN ca fears lath flatni
I
oooo
something
qq.gg
1.2 Rates of change
usingequations
Roc Flath Fia Different Quotient
lathirat
getitas too
c lose
flam na i nto
n
Find slopeof tangentto renren.tn at no
m tenth ten
inthis inthis uan
n
hatpinmin
n'taunt
inimith
h no isafactor f becausewhenyouplugin oyougetg
aunt scanuseonownnotin denominator
let no
anti cequationofeveryslopeonacurve
mote
accurate
For u 3
m scat
1.3 Limits
himfine exists if
, I ftp.tinlexists
2him
fansexists
3
iiamtinklingten
A piecewisefunction is a function madeupof two or morefunctionseachhaving its specific intervalwiththedomain
to
a
I
3
one
6
b
b
b
3
one
to
one
ALGEBRAisany
substitutea intofins if its afinitevaluethat'sthelimit
himisna su sistasis
as
o
i cases
14 4
1
him in a Fi one
constant
If youget o thenyouneedtotakelimitseparately fromleftandrightside
is
certain
it right
limit
Is I
him siz.co
zooa cases
m aim swoon
