Is it a Function?
{ (0,1), (1,3), (2,4), (3,6) }
Function !
f(x) = x+2
D={0, 1, 2}
R= {2, 3, 4}
The ______ is the x-value in an ordered pair.
Input
Graph 33
D= {-3, -2, -1, 0, 1, 2, 3}
R= {-3, -2, -1, 0, 1, 2, 3}
What function family looks like a straight line?
Linear
{ (1,3), (-3,1), (1,5), (5,3) }
Not a function !
f(x)= 3x-1
D= {0, 1, 2}
R={-1, 2, 5}
The ______ is the y-value in an ordered pair.
Output
Graph 36
D= {-3, -2, -1, 0, 1, 2, 3}
R= {-1, 0, 1, 2,}
Which of the function families has multiple (more than 1) rules or equations?
Piecewise Function
{ (-4, 2), (-1,1), (0,2), (4,3) }
Function!
f(x)= -2x+1
D= {-2, -1, 0, 1}
R= {5, 3, 1, -1}
A ______ is a set of ordered pairs that are related in someway.
Relation
Graph 37
D= {R} or {all real numbers}
R= {R} or {all real numbers}
What is the difference between a quadratic function and an exponential function?
The highest power in a quadratic is 2, and the power in an exponential is x or a variable.
{ (2,2), (-2,-2), (2, -2), (0, -2) }
Not a function!
f(x)= |x|
D= {-3, -2, -1}
R={3, 2, 1}
If you are checking to see if a graph is a function, you should use the ______ ______ _______.
Vertical Line Test
Graph 32
D= {-3, -2, -1, 1, 2}
R= {-3, -2, 0, 1, 2, 3}
What property in math would you use to simplify the following expression?
-5(x+6)
Distributive Property
{ 1, 2, 3, 4 }
Not a function !
f(x)= -6
D={1, 2, 3}
R= {-6}
What is it called when each input has exactly one output in a relation?
Function
Graph 38
R= {R} or {all real numbers}
What is the difference between an expression and an equation?
Expressions do not have an equal sign but equations have an equal sign.