Exponents
Exponential Growth and Decay
Exponential Function Equations
Graphs and Tables
Word Problems
100
When given 6^2 x 6^4, what operation do we use to combine the exponents?
Addition
100
If the line on a graph curves down, does it exhibit growth or decay?
Decay
100
What does the a-value represent in an exponential function equation?
Initial value/y-intercept
100
Given this table of values, does this represent a linear function or exponential function?
linear function
100
True or false: The word "deposit" means the equation exhibits growth.
True
200
When given 7^8 divided by 7^2, what operation do you use to solve?
Subtraction
200
True or False: Decay of an exponential function occurs when the b-value is less than zero.
False, decay occurs when the b-value is between zero and 1
200
True or false: The b-value in an exponential function will never equal 1.
True
We either add 1 or subtract 1 to find the b-value
200
What is the difference between a linear function on a graph versus an exponential function on a graph?
Linear functions create a consistent straight line, while exponential functions curve.
200
Determine the initial value in this word problem:
Banks had 20 Reese's PB cups. He goes to his friend's house and shares 10% of them with everyone every day.
20 Reese's PB cups
300
What is 6^4 x 6^10?
6^14
300
If the growth or decay rate (b-value) is 0.56, is this growth or decay, and why?
Decay because the b-value is between 0 and 1.
300
What is the percent of change (r) in this equation: f(x)=12(1 - 0.36)^x
0.36 or 36%
300
What is the y-intercept on this graph?
0, 1
300
Write the exponential function equation for the following word problem:
A hospital bill was received at a cost of $10,000. Every year, the amount of that bill increased by 5%.
f(x)= 10,000(1 + 0.05)^x, x=3
400
Any number with an exponent of zero is equal to what?
1
400
Does this table of values exhibit exponential growth or exponential decay? By how much?
decay, times 1/2 or divided by 2
400
If an exponential function exhibits growth, explain how you would find the b-value given a percent for the rate of growth.
Add 1 to the percent (changed into a whole number)
400
Describe the following graph:
The deer population over the course of 10 years increased, with a starting value of 80 deer.
400
Banks had 30 soccer balls. Over the course of 2 years, he gave away 5%. How many soccer balls was he left with?
around 27 soccer balls
500
Solve (3^3)^4
3^12
500
Is this equation representing a growth or decay rate? How do you know?
f(x) = 140(1 + .06)^x
Growth, adding 1 to the rate
500
Solve this equation where x = 5
f(x)= 800(0.95)^x
619.02 or 619
500
Create a table of values, where the input (x-values) are from 1 to 3 given the exponential function equation:
f(x) = 6(0.5)^x
plug in 1, 2, and 3 for x for the table of values:
x=1, y=3; x=2, y=1.5; x=3, y=0.75
500
If you had 235 kidney power and Spongebob took away 9% over the course of one month, how much kidney power would you have after 9 months?
100.56 kidney power