Question

The entire graph of the function g is shown in the figure below. Write the domain and range of g as intervals or unions of intervals.

Answer 1

Answer: D = {-5 ≤ x ≤ -2  or  1 ≤ x < 5}

Step-by-step explanation:

When we have a function f(x) = y, the domain is defined as all the possible values of x that the function maps into other values.

In our graph, we can see two curves.

The first one (the one at the left)

Has two black dots, one at x = -5, and other at x = -2

(black dots means that the value is included, white dots means that the value is not included)

So this first part of the domain is:

-5 ≤ x ≤ -2.

Now, the second part has a black dot in x = 1, and a white dot in x = 5, so we can write this part of the domain like:

1 ≤ x < 5

Then the domain of our function is:

D = {-5 ≤ x ≤ -2  or  1 ≤ x < 5}