Answer :
The domain is how far left and right it goes on a graph, and the range is how far up and down it goes on a graph. Because this equation is linear (if you graphed it, it would be in a straight line), both the domain and range are infinity, because it keeps going up and to the right, the larger X gets, and smaller and to the left, the more negative X gets.
Both the domain and range of the function is in range -
( - ∞ , + ∞ )
We have the following function -
y = f(x) = 2x - 4
We have to identify its Domain and Range.
What do you mean by domain and range of a function?
For any function y = f(x), Domain is the set of all possible values of y that exists for different values of x. Range is the set of all values of x for which y exists.
Consider the equation given -
y = 2x - 4
If we compare it with the general equation of line -
y = mx + c
We get -
m = 2 and c = - 4
Now this graph of the equation y = mx + c represents a straight line.
Hence, both the domain and range of the function are-
( - ∞ , + ∞ )
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