Lesson 13: Exponential and Logarithmic Functions f Cx 2K exponent Tbose Domain Goo 7 IR Range 0 7 Asymptotes y o Intercepts o D what happens when we multiply by a constant 9 2 9 5 2 Exponential functions y c b c BER b o y intercept ga
Lesson 13: Exponential and Logarithmic Functions
f Cx 2K exponentTbose
Domain Goo 7 IRRange 0 7Asymptotes y o
Intercepts o Dwhat happens when we
multiply by a constant
9 2
9 5 2
Exponential functions
y c b c BERb o
y intercept ga
ffxt c.bey intercept 0,2
t.EEorEJ
10 2.15IT5 b
ffxk2
Logarithmic FunctionsIf b o b 1 1 then we definethe logarithm in base as
y ogbX faudoulyif b X
4 109,81 b 3 109,04000
d X 1 17 d 7 a 10 53special bases means logoXE 2.718 means logeX
W se
a logs lb _y b logs125 929 16 59 1259 4 y 310 467 4 logs125 3
c log 1 9 d logy 4 y139 1 49 4y o 9 1
109,31 0 10944 1
e log toooo _log o toooo4
f log6.001 g In 67log o 0.001 Y loge y109 0.001 eY e7y 3 9 7
log 0001 3
h log yy x
B by X
logs 5 X
Logarithm as inverse function
y 2
µIfit one
to one Yesfhas an inversefunction
Y 2x
n
verticalasymptoteX o
replace x
withx 3
y 1092X
y lo92