domain
range
graph
Features Definitions
Features of Graphs In Action
100
the domain is describing what (about a function)?
what is the x-values
100
what is the range of a function referring to?
What is "all the y-values"
100
describe the graph of a square root function
What is ray curving off to one side (flattening out)
100
What is the domain of a function?
The set of all x-values or input values.
100
What are the negative intervals?
NONE
200
the domain of y = sq rt (x)
What is What is [0, infinity)
200
the range of y = sq rt (x)
What is [0, infinity)
200
the direction the graph is going (up or down) for the equation y = -3 sqrt(x - 3) + 5
What is down (negative lead coefficient)
200
What are the positive intervals of a function?
The x-values over which the y-values are positive.
200
What are the decreasing intervals?
(-1, infinity)
300
What do the domains of linear and quadratic functions have in common? Why is this?
Both All Real Numbers. There is no restriction on what you can input into the function
300
the range of y = 3sqrt(x - 7) + 2
What is [2,infinity)
300
graph y = sq rt (x)
What is (see graph)
300
What are the decreasing values of a function?
The x-values over which the function goes down from left to right or when the value to the left is larger than the value on the right.
300
What are the negative intervals?
(-infinity, -3) U (1, infinity)
400
What is the domain of this graph?
What is (-infinity, infinity)
400
the range of this graph
What is [-3, infinity)
400
What is the equation of the graph?
y=3*sqrt(x+1)
400
How do you identify negative intervals given a graph?
Find the x-values where the graph is below the x-axis.
400
What is the equation of a square root function that has a range of (-3, infinity)?
must have a k/d value of -3!
500
the domain of this function y = -2sqrt(x + 3) - 4
What is [-3, infinity)
500
the range of the parent function of a square root function reflected over the x-axis. Why?
What is [0, -infinity). You get positive outputs multiplied by a negative number
500
the equation that would create this graph (see graph)
What is y = sqrt(x + 3) + 2
500
When will the end point of a positive interval be included (bracket) rather than excluded (parenthesis)?
When the value of the end-point itself is a positive value, not on the x-axis.
500
What are the Increasing Intervals?
(1, infinity)