Exponential Functions
Growth or Decay?
Solving Exponential Equations
Review Topics
100
In y = a(b)x, What do a and b represent?
a = initial amount/y-intercept
b = multiplier
100
f(x) = 2(0.93)x
Does this function represent exponential growth or decay? Your speaker must justify your answer.
Exponential Decay
100
Find x:
2^x=2^7
x = 7
100
Evaluate the expression for when a = 5 and b = - 9
- 2a + 3b - 13
- 50
200
Identify the y-intercept and the multiplier for the function f(x) = 2(3)x.
y-intercept = (0, 2)
multiplier= 3
200
Is the function exponential growth or decay? Your speaker must justify your answer. 
Decay
200
Find x:
4^(4x)=4^12
x = 3
200
Solve the equation:
|x + 3| = 12
x = 9 and x = - 15
300
What is the y-intercept for the graph below?
y = 1•2^x
(0, 1)
300
How do you know if an exponential function is exponential decay from an equation?
If the b is in between 0 and 1
300
Find x:
3^(5x-1)=3^(4x+2)
x = 3
300
What famous test is used to determine whether or not a graph is a function?
How is it performed? Your speaker must explain and/or show an example :)
Vertical Line Test!
400
Compose the equation for the exponential function given the table.
Answer should be in the form y = a(b)x.
y = 5(2)x
400
y = 10(1.25)x
Does this function represent exponential growth or decay? Your speaker must justify your answer.
Exponential Growth
400
Find x:
5^(2x)=625
x = 2
400
Convert from standard form to slope-intercept form:
2x + 3y = 15
y = -2/3x + 5
500
Write an exponential function that goes through the points (0, 4) and (1, 2).
y = 4(.5)x
500
DAILY DOUBLE!!!
Find x:
3^(2x)=6561
x = 4
500
Solve the system of equations using a method of your choice:
x - 4y = 5
3x + 2y = 29
(9, 1)