Question

The function y=3.5x+2.8 represents the cost in y ( dollars ) of a taxi ride of x miles. You have enough money to travel at most 20 miles in the taxi. Find the domain and range of the function.

I don't understand how to get both the domain and range at the same time.

Answer 1

I'm not sure I think the answer is 2.433 and 6.848) and 737383) but I'm not sure

Answer 2

Explanation:

The domain of a function is the set of elements for which the function is defined. In other words, the domain is the range of values ​​of x for which the function exists, that is, it has a result.

"x" in this case represents the number of miles traveled by taxi. If the passenger has enough money to travel a maximum of 20 miles, the domain will be:

Domain = {0 ≤ x ≤ 20}

On the other hand, the image is the range of values ​​of the function for which there is a value of x. In other words, it is the set of values ​​of the variable "y" that is obtained when evaluating in the function all the possible values ​​of x.

In this case the function "y" is evaluated at both ends to determine the range of variation of the image:

In x=0 → y=3.5*0 + 2.8 → y= 2.8

In x=20 → y=3.5*20 + 2.8 → y= 72.8

So,the range of the function is between $2.8 and $72.8

Range = {2.8 ≤ y ≤ 72.8}