What is the difference between domain and range?
These questions were posted in my algebra class for a discussion and I do not know what it means at all I feel like I am taking a foreign language can somebody please help?
Describe a real-life situation that could be modeled by a function.
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Hi,
For this question, you should remember that domain represents the set of possible ‘x’ values (independent values) of a function where a possible ‘y’ value is produced. Now, the range implies just the opposite: the set of possible ‘y’ values (dependent values) of a function where a possible ‘x’ value is produced.
Therefore, let’s look at the equation y = 1 / x. Notice how if we put x = 0 into that equation, the ‘y’ value we get would be 1 / 0 which is not possible. Hence, x = 0 is not in the domain.
However, the range, would be the span of the corresponding ‘y’ values that make this equation true.
I hope that helps you out! Please let me know if you have any other questions!
With most formulas and functions, there is usually an “independent” variable (for which one can choose a value), and a “dependent” variable which depends on the value chosen for the independent variable.
The Domain is the set of all values that the independent variable (often x) can take ~ the Range is the set of all values that the dependent variable (often y) can take.
A real-life situation could be modeled by any useful formula, such as the area of a circle:
A = pi r^2.
Or the cost of a taxi ride:
C = 3 + .27 m
where it costs $3 to get in the taxi, plus 27 cents per mile times the number of miles.