Key Features of Exponential f(x)'s
Growth or Decay
Growth or Decay 2
Percent Rate
Random
100
If, y=a(bx ), what do a and b represent?
a = initial amount/y-intercept
b = growth/decay factor
100
How do I know if an exponential function is exponential decay from an equation?
If the b is less than 1.
100
A bunny population doubles every 6 months. If the starting population is 10, how many will you have after 3 years? What is the initial population? What is the growth factor?
after 3 years = 640
initial population = 10
growth rate = 2
100
What is the percent growth/decay rate?
y=5(0.5)^x
decay by 50%
100
The slopes of perpindicular lines are ______________.
opposite / reciprocals
200
What is the initial value and growth/decay factor for the function f(x) = 2(3)x
**Make sure to identify whether it is growing or decaying**
initial value = 2
GROWTH FACTOR = 3
200
What growth RATE does this equation represent?
y = 3(1.5)x
50%
200
In exponential functions, when b>1 this will cause an exponential growth or decay?
Exponential growth
200
What is the percent growth/decay rate?
y=5(1.3)^x
growth by 30%
200
The slopes (Rate of Change) of parallel lines are ______________.
The same or identical
300
What is the horizontal asymptote for this exponential function.
y = 0
300
f(x)=a(.93)x
Does this functions represent exponential growth or decay? What is the percent growth/decay RATE?
Exponential Decay by 7%
300
f(x)=a(1.07)x
Does this functions represent exponential growth or decay? What's the percent growth/decay rate?
Exponential Growth. 7%.
300
What are some things I can do to help me perform well on Test Day? You must pick 3 of the answers...
1. Get a good nights rest.
2. Eat breakfast.
3. Dress Comfortable
4. Be on Time, and know where you are going.
5. Take Your Time.
6. Read the questions carefully.
7. Use DESMOS.
8. Check your work, but trust yourself.
9. Don't over think it.
10. Be a NINJA :) You've got this!!!!
300
What is the slope of the following linear equation?
2x + 4y = 16
the slope is 1/2
400
What is the equation for the function?
y = 5(2)x
400
What growth FACTOR does the following equation represent?
y = 4(3)x
300%
400
Does the graph represent exponential growth or decay?
Exponential Growth
400
Is this exponential growth or decay?
What is the percent growth/decay rate?
y=1/2(0.7)^x
Decay by 30%
400
Simplify the following exponent:
(3x2y5)0
1
500
What is the difference between linear functions and exponential functions?
Linear has a constant rate of change (slope).
Exponential functions increase or decrease at an increasing rate (exponentially).
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
Annual sales of a fast food restaurant are $530,000 and increasing at a rate of 5%. What will the annual sales be in 6 years?
530,000(1.05)6 =$710,250.69
500
What is the percent growth/decay rate?
y=60(1.33)^x
growth by 33%
500
solve the following equation:
3x + 5 = 2(3x -10)
x = 25/3