Radicals & Rational Exponents
Exponential Growth/Decay
Exponential
Functions
Functions
Solving Exponential Equations
Word Problems
Geometric Sequences
100
Find the dimensions
of the cube:
s = 9 cm
100
How do I know if an exponential function is exponential decay from an equation?
Example: y = 3(0.56)x
Decay is has a b value or growth factor less than 1
100
Determine whether the equation represents an exponential function. Explain briefly.
100
Solve the equation.
x = -2
100
2243
100
Write the explicit formula for this geometric sequence.
2,6,18,54, ...
2(3)^(n-1)
200
Simplify the expression. Write your answer using only positive exponents.
200
Do the following equations represent exponential growth, decay, or neither?
a) y=3.5(0.3)x
b) y=2(3)x
c) y=5x+6
a) Decay
b) Growth
c) Neither (It's linear! y=mx+b)
200
Determine whether the table represents a linear or exponential function. Explain briefly.
200
Solve the equations.
x = 2
200
What will be the cost in 17 years?
$32,313.27
200
Write the recursive formula for this geometric sequence.
-1,-3, -9, -27, ...
3•an-1; a1= -1
300
Rewrite the expression in radical form:
300
f(x)=2(1.13)x
Does this function represent exponential growth or decay? What is the growth/decay RATE?
Exponential Growth
Rate: 0.13 or 13%
300
Evaluate the function for the given value of x.
300
Solve the equation.
x = -1
300
16,941 people
300
55, 165, 495, 1485, ...
list the a1 and r
a1 = 55
b = r
400
Evaluate the expression. Write the answer in scientific notation.
400
f(x)=5(0.97)x
Does this function represent exponential growth or decay? What is the growth/decay RATE
Exponential Decay
Rate: 0.03 or 3%
400
Graph the function. Identify the asymptote, domain, range, and the two transformations from the parent function.
400
400
Is the function exponential growth or decay? 
Decay
400
Write the recursive formula for this geometric sequence.
100, 50, 25, 12.5, ...
an=1/2•an-1; a1=100
500
Evaluate the expression. Write your answer in standard form:
500
Ms. Wiggins purchased a car for 26,400 and every year it decays by 12%. What can she expect the value of her car to be after 3.5 years?
f(x)=26400(.88)3.5=$16,876.92
500
Identify the asymptote, domain, range, and the three transformations from the parent function.
*3 transformations:
Vertical stretch (mult by 3)
Horizontal translation (1 to left)
Vertical translation (3 down)
500
Solve the equation.
500
If you put $500.00 into an account and the account earns a 3% yearly interest rate. How much will be in the account after 5 years?
Round the nearest cent!
$579.64
500
Write the explicit formula for this geometric sequence.
600, 120, 25, 5, ...
600(1/5)^(n-1)