Question

Hans opens a new video game store and pays the gaming companies 5.00 for each video game he buys from them. The amount Hans pays is given by f(x) = 5x, where x is the number of video games purchased.
Give its domain and range.

Answer 1

Answer:

The domain of the function is {0, 1, 2, 3, 4, 5, 6, 7,...,}

The range of the function is {0, 5, 10, 15, 20, 25,...,}

Step-by-step explanation:

Consider the provided information.

Hans opens a new video game store and pays the gaming companies 5.00 for each video game he buys from them. The amount Hans pays is given by f(x) = 5x, where x is the number of video games purchased.

We need to find the domain and the range of the function.

The domain is the set of input values which a function can take, or the domain is the set of all possible x values.

Range: Range is the set of output value produce by the function, or the range is the set of all possible y values.

The number of games Hans buys must be a whole number.

Thus, the domain of the function is {0, 1, 2, 3, 4, 5, 6, 7,...,}

The amount Hans pays is given by $f(x) = 5x$

For 0 games he need to pay $f(x) = 5(0)=\ 0$

For 1 game he need to pay $f(x) = 5(1)=\ 5$

For 2 game he need to pay $f(x) = 5(2)=\ 10$

Here, we can observe that the output value is the multiple of 5.

Hence, the range of the function is {0, 5, 10, 15, 20, 25,...,}