The set of all possible input values for which a function is defined.
Domain
Evaluate f(x)=-4x+3
f(-1)
f(-1) = 7
Determine if this relation is a function.
What is a function?
Question 8 Domain (left photo)
{-6,0,3,7}
Question 10 initial height
at t= 0 height = 10 inches
The set of all possible output values produced by a function.
Range
Evaluate f(x)=√x. Find x=25
5
Determine whether this relation is a function:
What is not a function?
Question 8 (left photo) range?
{-7,-5,0,2,7}
Question 10 maximum height
at 3.5 second max height: 55 inches
The values provided to a function
Input
Evaluate g(x)=-x2 - 4x -1 if g(-1) a
g(-1) =2
Determine which relation is a function:
Option A:
Option B:
What is B?
Question 8 (right photo) domain?
[-6,inf)
Question 10 Time of Flight?
6.317
The corresponding values produced by the function.
Output
Evaluate f(x)=x2 - x for f(2x)
4x4-2x
Determine whether this graph is a function or not. If it is not a function, what rule or property explains it so?
What is a function?
questions 8 (right photo) range?
[-6,inf)
Question 10: Height at t =2
when t= 2, height = 50
Can you spell your math teacher's name?
Mrs. Nguyen
What is 0, -1, -1, and ±6?
Determine whether this graph is a function or not. If it is not a function, what rule or property explains it so?
What is not a function since it does not pass a vertical line test?
Question 4 domain and range
Domain: [-7,5)
Range: [-2,0)
Name the x-intervals where the function is
(a) increasing
(b) decreasing
(c) constant
decreasing: (0,3)
constant: (-4,0)