Logarithmic Vs Exponential
Exponential
Logarithmic
General form: f(x)=alog(cx-h)+k
Has a vertical asymptote (x=h)
General form: f(x)= ab^cx-h +k
Has a horizontal asymptote (y=k)
to find the x-intercept replace the y with 0 then solve for x
to find the y-intercept replace x with 0 and find the answer
two types
growth
decay
when the b>1
when 0<b<1
two types
growth
decay
when b>1
when 0<b<1
Domain and range
Domain all real numbers
range
(k,infinity) when a is positive
(-infinity,k) when a is negative
Domain and range
Domain
Range all real numbers
(h,infinity) when a is +ve
(-infinity,h) when a is -ve
Done By:
Abeer Alghamdi
12C
Raghad Alkhashan
They are reflection to each others on line y=x