Question

A movie rental store charges a $6.00 membership fee plus $2.50 for each movie rented. The function f(x)= 2.50x + 6 gives the cost of renting x movies. Graph this function and give its domain and range.

Answer 1

Answer:

domain: x=0, x>0

range: x=6, x>6

Step-by-step explanation:

Answer 2

The range and domain of the function is : x=0, x>0 and x=6, x>6

What is Domain and Range?

The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes.

Given that: The membership fee = $ 6.00,

and, Charges for a movie = $ 2.50,

The function f(x)= 2.50x + 6 gives the cost of renting x movies.

As, the number of movies cannot be negative or a fraction, then value of x must be an integer including 0,

again, we know that the domain of a function is the set of all possible value of input values,

Hence, the domain of the function f(x) is the set of all integers include 0.

i.e., x=0, x>0

Now, the range will be up to value 6 i.e.,

x=6, x>6 according to the given function

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