This is the equation for exponential functions.
What is y=a(b)x?
Does the table display exponential or a linear model?
Linear; The y-values decrease (subtract) by 1 each time!
Linear or exponential: It costs 40 dollars to join a gym and an additional $10 per month.
Write the equation to model the situation.
Linear: y=10x+40
Write a linear equation where y is decreasing by 5 as x is increasing by 1.
y=-5x+___
How can I check if a sequence is Geometric?
Divide the second term by the first term etc
Slope-Intercept Form for Linear Functions.
y= mx+b
Does the table display exponential or a linear model?
Exponential; the y-values double (multiply by 2) each time!
Linear or Exponential:
A strain of a virus starts with 125 cells and triples every hour. Write the equation to model the situation.
Exponential: y=125(3)x
Does the equation below represent exponential growth or exponential decay?
y=0.5x
exponential decay
A pattern that doubles each minute.
Geometric
Draw a graph that is exponentially decaying.
Curving down from left to right. Does not go below the x-axis.
Does the table display exponential or a linear model?
Exponential; the y-values are multiplying by 6 each time!
This is the type of function that best describes the following information. y = 10(0.5)x Be specific!
What is exponential decay?
In the equation below, what is the initial value?
y=2000(1.4)x
2000
What type of sequence?
-3, 9, -18, 54
Geometric
r=-3
This is the answer when y = 10(5)x is evaluated for x=3.
What is 1250?
A function that starts at 3 and doubles at each stage is this kind of function.
exponential function
Does the equation below represent exponential growth or exponential decay? Explain how you know.
y=5(2)x
exponential growth
In the model below, what is the common ratio?
y=2000(1.4)x
1.4
Given f(n) = f(n - 1) + 12 ; f(1) = 2
Which equation is correct?
a) f(n) = 12 +(n - 1) -2
b) f(n) = -2 +(n - 1) 12
c) f(n) = 2 + (n - 1) 12
d) f(n) = 12 + (n - 1) 12
C
If the input is 10 and the equation is y = 4+(1/2)x; what is the output?
y=9
What value is missing from the function table for y=−0.25x−6?
x y
–4 ?
–1 –5.75
1 –6.25
0 –6
What is -5
Write an exponential growth function to model the situation. A population of 422,000 increases by 12% each year.
Find the population 10 years from now.
y=422000(1.12)x
In 10 years, the population will be 1,310,667 people.
The 8th grade starts with 5000 jelly beans. They eat 15% each day.
How many jelly beans will they have after 10 days? (Round to the nearest whole number)
984 jelly beans
When given a graph of a sequence. Where should you look to find the first term?
where x = 1