The function f has a domain of 1,3,5,7 and a range of 2,4,6. Could f be represented by 1,2. 3,4. 5,6. And 7,2. Justify your answer

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The function f has a domain of 1,3,5,7 and a range of 2,4,6. Could f be represented by 1,2. 3,4. 5,6. And 7,2. Justify your answer

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Mathdragonid Mathdragonid · Answer 1

Mathdragonid Mathdragonid

Yes, a function with those domain and range values could certainly be represented by those points. (1,2) and (7,2) are points with separate domain values but identical range values. This is allowed because every x value is only assigned one y value.

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PratikshaSid PratikshaSid · Answer 2

The function f can be represented by (1, 2), (3, 4), (5, 6), and (7, 2)

What is domain?

"It is the set of values for which the function is well defined."

What is range?

"It the set of all possible output values of a function."

For given example,

The function f has a domain of 1, 3, 5, 7 and a range of 2, 4, 6.

We can represent these values in the form of coordinates of point (x, f(x))

where, x represents the input value that is domain of the function.

and f(x) represents the value of the function for input value x

This means f(x) represents the range of function 'f'.

Therefore, the function f can be represented by (1, 2), (3, 4), (5, 6) and (7, 2)

Learn more about the domain and range of the function here:

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