Elena plays the piano for 30 minutes each practice day.

The total number of minutes p that Elena practiced last week is a function of n, the number of practice days.

What is the domain for this function?
What is the range of this function?

Answer:

Step-by-step explanation:

f(n)=30n

domain all real numbers

range all real numbers

I think.

Domain is {0, 1, 2, 3, ...} and range is {0, 30, 60, 90, ...} for function p=30n.

A relation is a function if it has only One y-value for each x-value.

The function that relates the total number of minutes practiced, p, to the number of practice days, n, is given by:

p = 30n

where 30 is the number of minutes Elena practices each day.

Since we cannot have negative practice days, the domain of the function is the set of non-negative integers:

Domain: {0, 1, 2, 3, ...}

The range of this function is the set of all possible values of p that can be obtained by plugging in values of n from the domain.

In this case, since the function only outputs non-negative values, the range is the set of non-negative integers:

Range: {0, 30, 60, 90, ...}

Hence, Domain is {0, 1, 2, 3, ...} and range is {0, 30, 60, 90, ...} for function p=30n.

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