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Intro to Functions
Function or no?
Using vertical line tests and mapping diagrams
Types of Function
Identifying Exponential growth and Exponential Decay
100
This is a way you can find out whether it is a function or not on the graph.
What is a vertical line test?
100
(-4,5)(5,6)(3,4)(1,3)(2,5)
Yes its a function
100
Plot these points and use the vertical line test to see if its a function. (3,1)(2,2)(4,1)(3,3)(4,5)
Its not a function
100
What kind of function is this? y=4x
what is a function
100
Since 2003, the amount of napkins spent at restaurants in the US increased by 8% each year. Is this an exponential growth or exponential decay?
What is exponential growth?
200
This is another word for x
What is domain
200
(4,4)(5,4)(6,4)(7,4)(4,5)
No its not a function
200
Use a mapping diagram. (9,3)(9,4)(9,5)(1,3)(2,4)
Its not a function
200
what kind of function is this? y=x^2
What is an exponential function?
200
Jay had 70 pies at 1 pm. At 3pm, he was left with 5 pies. Is this an exponential growth or exponential decay?
What is exponential decay
300
There is one output for one input.
What is a function
300
(8,0)(9,1)(5,3)(8,1)(9,2)(3,3)
No its not
300
Plot out these points and use the vertical line test. (3,4)(4,4)(1,4)(3,3)(9,0)(5,6)
No its not a function.
300
what kind of function is this? y=2x+1
What is a linear function
300
Amy has 32000 files on her computer. She does no work. If she continues to not do work, the amount of files multiplies by 0.1% hourly.
What is exponential growth
400
A function, f(x), has coordinates of (-1,4) (3,6) (-1,98) and (12,4). Is it a function?
What is not a function
400
(-1,5)(2,3)(4,2)(10,2)
Yes it is a function
400
Use the vertical line test. (3,4)(9,3)(5,6)(7,8)(3,1)
No its not a function.
400
What kind of function is this? y= 3x^2 + 4x+ 10
What is a quadratic function
400
Rabbits population are decreasing by 15% every year. Is this an exponential growth or exponential decay?
What is exponential decay?
500
This is another word for y
What is range
500
(50,43)(48,900)(80,1)(9,8)(50,25)
Its not a function.
500
Use a vertical line test.(9,4)(10,3)(5,2)(6,1)(7,8)
It is a function
500
what kind of function is this? y=4^x + 2
What is an exponential function?
500
Solve: Jordan has 300 followers in 2013. Her followers increased by 30% every year. How many followers will she have in 2018?
What is 1114?