Linear Quadratic or Exponential
Look at the three functions on the board. Which function is exponential? f(x) g(x) or h(x)
f(x)
f(x) g(x) or h(x)
g(x)
Simple interest 10% a year. Starting with $200. How much money will you have total after 1 year?
220
first term is 3. Equation is an=an-1* 4. find the third term.
Compound interest. Starting $100. Makes 12% a year. Write an expression
(100)(1.12) x
look at the board. Which function contains increasing and decreasing intervals?
h(x) or the quadratic
Exponential functions show repeated ______
Linear functions show repeated ______
Fill in the blanks on your whiteboard
Multiplication
Addition
Compound interest 10%. Starting with $200. How much will you have after 2 years
242
first term is 6. Equation is an=an-1* 5. find the 4th term.
750
Simple Interest. Starting 50. Makes 15$ a year.
Write an expression on your whiteboard
y = 15x + 50
As the x values of the functions on the board approach infinity, which will have the highest value
Exponential f(x)
Look at the board. Which function is quadratic?
f(x) g(x) or h(x)
h(x)
Compound interest. Starting 100. 8% annual. Compounded quarterly. How much will I have after 1 year?
Formula on the board
108.24
Explicit formula is 100,000(1/4)n-1. What is the 2nd term
25000
Simple interest. Starting at 50$. Makes 10% each year. Write an expression on your whiteboard.
y= 5x+ 50
Which function on the board has a range of all real numbers
linear or g(x)
Look at the board. Which function has positive and negative intervals?
Compound interest. Starting 350. 4% annual. Compounded monthly. How much will I have after 5 years?
Formula on the board
427.34
Explicit formula is 100,000(.8)n-1. What is the 4th term
51200
AJ is saving up for some cleats. after 1 day he has $25 saved. he makes 12% more money each day. Write an explicit formula based on his situation
Template y=a1(r)n-1
Template y=25(1.12)n-1
Which function on the board has the highest starting value?
h(x) quadratic
Look at the board. Which function has the smallest f(1) value
g(x) or linear
Which would you rather have after 5 years.
Simple: Start 100, make 10% interest.
Compound: Start 90, make 10% interest.
Simple. 150 over 144
Write an explicit formula to describe the situation. Mr. Miller has $100 saved. He loses half of it every day.
Write your answer on the whiteboard.
Template y=a1(r)n-1
y=100(.5)n-1
Gage is saving up for a vacation. after 1 month he has $24 saved. he triples his savings each month more money each day. Write an recursive formula based on his situation
Template a1= __ an= (___) n-1
a1=24 an= (3) n-1