Exponents & Exponential Functions
What is the transformed form of an exponential function?
f(x)=ab^k(x-d) +c
What is the parent exponential function?
f(x)=2^x
What are like radicals?
Radicals with the same radicand
What is the rule for adding and subtracting radicals?
You can only add/subtract like radicals
What is the rule for multiplying/dividing radicals?
Coefficient x Coefficient, Radicand x Radicand
How do you convert a complete radical to a mixed radical?
Find the greatest perfect square, split radical into 2, evaluate for greatest perfect square
How do you convert a mixed radical to a complete radical?
Express the coefficient as an equivalent radical, multiply the radicals together
What if y in an exponential function?
Final value
What is a in an exponential function?
Initital value
What is b in an exponential function?
1+r
What is the exponent in an exponential function?
Value elapsed
What is an exponential function If b is less than one
decay
What is an exponential function if b is more than 1?
Growth
What do you use to isolate an exponent?
logarithm
What do you do to solve for initial value?
Isolate a
What do you do to solve for value elapsed?
Isolate exponent
What do you do to find the final value?
Solve for y
a^m/n
n = index m=exponent
a^m x a^n
a^m+n
a^m/a^n
a^m-n
(a^m)^n
a^mn
a^0
1
(ab)^m
a^m x b^m
a^m x b^m
(ab)^m
a^-m
1/a^m
a^-m / b^-n
b^n / a^m
-a^2
b
-a^3
-b
-(-a^2)
-b
-(-a^3)
b
a^-m / b
1 / b x a^m