Growth or Decay
Random 1
Random 2
100
y=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%
100
Yes or no:
The a in y = a(b)^x is the y-intercept
Yes, because a is the starting value.
100
Yes or no: does a unique y value repeat more than once in an exponential table?
No the y doesn't not repeat more than once because exponentials are one-to-one functions
200
For the exponential function y=15(3)x, what is the factor, and does the function represent growth or decay?
Exponential Growth
Factor: 3
200
Is this exponential growth or decay?
What is the percent growth/decay rate?
y=1(0.01)^x
Exponential Decay
99%
200
Which definition is correct for rate of growth?
A) as the x value increases the y value decreases
B) as the x value increases the y value increases
B
300
What is the growth rate?
200%
300
What is equation for the table below?
x: 1, 2, 3
y: 1/3, 1, 3
.
y = 1/9(3)^x
300
Which option below does NOT describe a problem that could be solved using an exponential function?
A) You have a starting value of 4 and it triples. Write the equation.
B) A canoe rental service charges a $20 transportation fee plus $30 an hour to rent a canoe. Write an equation.
C) I buy a house for 100,000 dollars and the price increases by 40% of the current value. Write an equation.
B
400
y=5(0.97)2x
Does this function represent exponential growth or decay? What is the growth/decay RATE?
Exponential Decay
Rate: 6%
400
Is this exponential growth or decay?
What is the percent growth/decay rate?
y=1/2(4/3)^x
Exponential Growth
33.3%
400
How can you tell a table represents an exponential function? (Choose ALL answers that apply.)
A) the ratio of outputs is a constant
B) the outputs grow by adding the same number each time
C) the outputs are multiplied by the same number each time
D) all of the above
A and C
500
Is the following exponential growth or decay? And, what is the % change?
y = 1/2(.45)^-x
Growth , 122.2% increase
y = 1/2(2.222)^x
500
Convert to the form
y =a(b)^x
f(x)=1/2(1.07)^(3x+11)
f(0) = 1.05
500
If the starting value is 6 and it quadruples what is the equation?
A)
y = 4(6)^x
B)
y = 2(6)^x
C)
y = 6(3)^x
D) none of the above
D) none of the above; Correct answer: y =6(4)x