Key Features
Growth or Decay
Exponential Equations
Word Problems
Mixed Up
100
If, y=a(b)x, What do a and b represent?
a=initial amount/y-intercept
b=multiplier (common ratio)(growth or decay factor)
100
What's the multiplier? (the b value in the equation)
b=2
100
Write an exponential function that goes through the points (0, 3.5) and (2, 31.5)
y=3.5(3)x
100
Annual sales of a fast food restaurant are $530,000 and increasing at a rate of 5%. How much sales will the restaurant have in 5 years?
f(x) = 530,000(1.05)x
$676,429.23
100
Solve the exponential equation: 2(x + 1) = 8.
x=2
200
Which number is the y-intercept for the function f(x)=2(3)x
y-intercept=2
200
Is the function exponential growth or decay? 
Decay
200
Given the functions f(x) = 3(2)x+2 and g(x)=5x-1. What is the distance between the y-intercepts?
6 units
200
A bunny population doubles every year. If the starting population is 10, write an exponential function to model the situation.
f(x)= 10(2)x
200
Is the scenario below linear, quadratic, or exponential?
The population of bacteria halves every hour.
exponential
300
What is the base in the functions y=3(2)x?
What is 2?
300
How do I know if an exponential function is exponential decay from an equation?
If the b is in between 0 and 1
300
Given the function f(x)=5(2)x and g(x)=3x+45. For what integer does x does f(x) first exceed g(x)?
x=4
300
2243
300
Find x:
(13)x=243
What is x=-5?
400
What is the y-intercept of the functions y=5(3)x-8?
(0,-3)
400
f(x) = 4(0.8)x
What is the percent of decay?
20% decay
400
Given the function, let w represent the y-intercept and k represent the x-intercept. what is k - w?
y=2 (4)^{x}-4
2.5
400
What will be the cost in 17 years?
$32,313.27
400
How do you calculate IQR?
What is Q3-Q1
500
What is the difference between linear functions and Exponential functions?
Linear has a constant difference (constant rate of change)
Exponential has a constant ratio
500
Asymptote
A line that a curve approaches as it heads toward positive or negative infinity, but never actually crosses (Like a Boundary)
500
What is the formula for geometric sequence
an=a1(r)(n-1)
500
16,941 people
500
Find the Domain and Range of f(x)=-3x -5
Domain: (−∞,∞)
Range: (−∞,-5)