1. all real numbers
2. y ≥ -8
3. It is all of the possible values of a function
4. Domain:{-4,-2,0,2,4} and Range:{-2,0,1,2,3}
Step-by-step explanation:
Let f:A→B be a function. In general sets A and B can be any arbitary non-empty sets.
Values in set A are the input values to the function and values in set B are the output values
Hence Set A is called the domain of the function f.
Set B is called co-domain or range of function f.
Now coming back to problem,
In first picture,
Given function is a straight line ⇒it can take any real number as its input
and for each value it gives a unique output value.
Hence output value is set of all real numbers, i.e. range of the function represented by the graph is set of all real numbers.
In the second picture,
The graph is x values are extending from -∞ to ∞ but the y values is the set of values of real numbers greater than -8 since we can see that the graph has global minimum of -8
Therefore range of the graph is y≥-8
in the third picture,
as we have already discussed the range of a function is the set of all possible output values of the function
In the fourth picture,
Let the function be 'f'.
from question we can tell that we can take only -4,-2,0,2,4 as the values for x and for corresponding x values we get 1,3,2,-2,0 as y values which are the output values.
hence we can tell that domain, which is set of input values, is {-4,-2,0,2,4}
and range, which is the of possible output values, is {-2,0,1,2,3}
