Question

Find the domain and the range of the function

domain:

range:
​

Answer 1

Approach 1: Mathematical Approach

Domain is the possible inputs or x values of a function

Here we can use any x values greater than or less than 7. We can also use 7 since their is a a function defined for x greater than or equal to 7.

So the domain is (-♾, ♾).

The range is possible y values. Since we can use negative x values, if we plug in x values for the function -5/7x+1, we are going to get positive numbers, as we plug in higher negative numbers, our range is bigger.

This means the range is bounded to -4 so our range is

(-4,♾)

Approach 2: Graphical Approach

Above is the graph

It can take any x values so the domain is (-♾, ♾).

The range is (-4,♾).