Question

For the function f(x) = 2x + 5 with input values x={1,4,7}, identify the domain and range.

Answer 1

The domain is (-infinity, +infinity) and the range is (-infinity, +infinity).

Step-by-step explanation:

The domain of a function is the set of all possible input values that can be plugged into the function. In this case, the function is f(x) = 2x + 5.

Since x can take on any real number, the domain is all real numbers. So, the domain is (-infinity, +infinity).

The range of a function is the set of all possible output values that the function can produce.

For the given function, f(x) = 2x + 5, any real number can be obtained as an output by plugging in an appropriate input.

So, the range is also all real numbers, which can be represented as (-infinity, +infinity).