Writing an Exponential Function
Exponents
Words, words, words...
100
Write an exponential function for this table.
y=4(2)^x
100
Write in expanded form:
5^6
5*5*5*5*5*5
100
Operation for the word "splitting into 2"
x2
200
Write an exponential function for this table.
y=3(4)^x
200
Write in exponent form:
6*6*6
6^3
200
Operation for doubling
x 2
300
Write an equation for this function.
y=4(3)^x
300
Write in standard form (simplify)
10,000(2)(2)(2)
80,000
300
Operation for tripling
x 3
400
Write an equation for this table.
y=0.2(3)^x
400
The population of a city is 20,000. It triples each decade for 2 decades. Write an expression to represent this situation in expanded, exponent, or standard form.
20,000(3)(3)
or
20,000(3)^2
or 180,000
400
Operation for quadrupling
x 4