how do i find the range for this???????? I'm confused!!!!!!!
Answers
Answer:
In a graph, the x-axis is always used to find the domain of a given function while the y-axis is used for calculating the range of the same function.
According to the graph, the dark dot represents a point which is a part of the closed interval in a range and a hollow dot represents a point which is not a part of the closed interval.
So consider the first domain from -5 to -1, the range is given by the values in y-axis from the least to the highest values.
The least value in the y-axis is -1 and the highest value is 5. Now since the value of 5 has a hollow dot, it is represented as open interval. In terms of equation it is given as:
For D ∈ [-1, -5], R = [ -1, 5)
For the second domain from -1 to 3, the range is given from -1 to 5. But since 5 has a dark dot, it is a part of the closed interval.
For D ∈ [-1, 3], R = [ -1, 5]
Range for the given graph is [-1 , 5]
Domain
The domain of a relation or a function is the set of all possible values for an input in that relation/function.
Range
The range of a relation or function is the set of all possible values that can be the result of a relation or function.
From the graph Value of x are from -4 to 2 where -4 is not solid hence not included so domain is
(-4 , 2]
From the graph Least Value of y is -1 and maximum value is 5 (as one of 5 is included in the solution ) hence Range is
[-1 , 5]
Range for the given graph is [-1 , 5]