Exponential Functions
Equations
Graphs
Forwards and backwards
Random stuff
100
When you are multiplying numbers, what should you do with the exponents?
Add them
100
In the equation y = 2(3)t, what is 3?
Growth factor
100
What shape is a linear equation on a graph?
A straight line
100
True or false: If you flip (left to right) a graph that shows exponential growth, you get a graph that shows exponential decay.
True
100
What is our room number?
117
200
Instead of repeatedly adding, what do exponential functions do?
Multiply
200
In the equation y = 2(3)t, what is t?
Time
200
Solve the following word problem using y = mx + b; but solve for finding total cost:
Nicole wants to babysit. She charges a flat rate of $20 and 15 dollars per hour. She ends up babysitting her neice for 6 hours. How much does her sister have to pay her?
$110.00
200
Who would win in a race?
f(t) = 3 (2)t
g(t) = 2 (3)t
g
200
What time is the Culture Day celebration this evening?
6-8
300
Solve the following equation:
3x + 5x - 2x + 14 + 2 = 120
Show your answer as a decimal.
X = 10.4
300
What is the y-intercept of this function?
f(t) = 1.5(1.2)t
1.5
300
Use your calculator and find the answer to the following equation:
93 + 83 =
1241
300
My money multiplies by 3 each year. In two years, how many times more money will I have?
9
300
Every year, I spend 1/10 of my money. What is the growth factor?
9/10
400
What does slope measure?
The steepness of a line.
400
Which of these functions has exponential decay?
f(t) = 1/2 (3)t
g(t) = 2(3/2)t
h(t) = 3(0.75)t
h(t)
400
Solve the equation below: (5, 8) (3, 2)
- 6/-2; 6/2; 3
400
If the growth factor is times 2 each year and there are 120 this year, how many were there last year?
60
400
How can you tell if something is exponential decay?
If its growth factor is less than 1
500
When you are dividing in an equation with exponents, should you add or subtract the exponents.
Subtract
500
Solve the following proportion:
x 3
______ = _____
(7 - 4) 4
9/4 or 2.25
500
Red, green, or blue: Which line has maximum height?
Red
500
The function f(x) = 20(1.2)x represents the population of bacteria where x is the number of hours since noon.
What does f(-1) represent?
The population of bacteria at 11:00am
500
What flag is this?
Argentina