What type of function is this?
Linear Function
What is the difference between Domain and Range?
Domain spans all possible x-values and range spans all possible y-values
What is the increasing and decreasing intervals?
Increase: (-0.25, infinity)
Decrease: (-infinity, -0.25)
When is a graph positive and when is it negative?
A graph is positive when it is above the X-axis and negative when it is below the X-axis.
What are the two types of Vertex?
Minimum and Maximum
What type of function is this?
Quadratic Function
What is the domain and range?
Domain: (-infinity, infinity)
Range:[-7, infinity)
What is the decreasing interval of this function?
Decease: (2, infinity)
What is the positive and negative intervals for this graph?
Positive:(- infinity, -2)U(1.5, infinity)
Negative: (-2,1.5)
What interval is read bottom to top and is based on the Y-Values?
Range
Is this Parabola a function and why?
No it is not a function because it does not pass the vertical line test.
What is the Domain and Range of this function?
Domain: (- infinity, infinity)
Range: (- infinity, 7]
How many intervals are there for increasing, decreasing, and constant?
Increasing: 1
Decreasing: 2
Constant: 1
What is the positive and negative interval for this graph?
Positive: (0,4)
Negative: (- infinity, 0)U(4, infinity)
What is the difference between Brackets and Parentheses?
Brackets are used when the value IS included and Parentheses are used when the value is NOT included.
What functions are in this piecewise?
Quadratic, Linear, and Absolute Value
What is the Domain and Range?
Domain: (- infinity, -4)U[-4,0)U[0,infinity)
Range:(- infinity, 2)U{3}U[0, infinity)
What is the increasing and decreasing intervals?
Increasing: (-infinity,1)U(2,infinity)
Decreasing: (1,2)
What is the positive and negative intervals?
Positive:(-7,-4)U(-4,0)U(0,infinity)
Negative:(- infinity,-7)
What is the name of the shape of a quadratic function?
Parabola
What are the types of functions in this piecewise?
Linear, Quadratic, and Constant
What is the domain of this piecewise?
Domain: (-infinity, -5)U[-5,-1)U[-1,3)U[3, infinity)
What is the increasing, decreasing, and constant intervals?
Increasing: (-infinity, -4)U(0, infinity)
Decreasing: NONe
Constant: [-4,0)
What is the positive interval for this graph?
Positive:(- infinity, -8)U(-1,3)U(3,9)
Negative:(-8,-5)U(-5,-1)U(9,- infinity)
What is the name of the test we do to see if a graph is a function?
The Vertical Line Test