FIND DOMAIN AND RANGE FROM A GRAPH

Example 1 :

Solution :

Finding the domain :

In the given graph, the possible values of x are -4, -3, -2 ……… there are spread horizontally on the x-axis.

Because the graph starts at -4 on the x-axis.

So, the domain (x) is x > -4

Finding the range :

In the given graph, the possible values of y are -2, -1, 0 ……… there are spread vertically on the y-axis.

Because the graph starts at -2 on the y-axis.

So, the range (y) is y > -2

Example 2 :

Solution :

Finding the domain:

In the given graph, the possible value of x is 2. Because the graph is at 2 on the x-axis.

So, the domain (x) is x = 2

Finding the range:

In the given graph, the possible values of y (All the real values)

Because there are spread vertically on the y-axis.

So, the range (y) is in R.

Example 3 :

Solution :

Finding the domain :

In the given graph, the possible values of x are -3, -2, -1, 0, 1, 2, 3 there are spread horizontally on the x-axis.

Because the graph starts at -3 and ends at 3 on the x-axis.

So, the domain (x) is -3 ≤ x ≤ 3

Finding the range :

In the given graph, the possible values of y are -3, -2, -1, 0, 1, 2, 3 there are spread vertically on the y-axis.

Because the graph starts at -3 and ends at 3 on the y-axis.

So, the range (y) is -3 ≤ y ≤ 3

Example 4 :

Solution :

Finding the domain :

In the given graph, the possible values of x (All the real values).

Because there are spread horizontally on the x-axis.

So, the domain (x) is in R.

Finding the range :

In the given graph, the possible values of y are 0, -1, -2, -3……… there are spread vertically on the y-axis.

Because the graph starts at 0 on the y-axis.

So, the range (y) is y ≤ 0

Example 5 :

Solution :

Finding the domain :

In the given graph, the possible values of x (All the real values).

Because there are spread horizontally on the x-axis.

So, the domain (x) is in R.

Finding the range :

In the given graph, the possible value of y is -5. Because the graph is at -5 on the y-axis.

So, the range (y) is y  =  -5

Example 6 :

Solution :

Finding the domain :

In the given graph, the possible values of x (All the real values).

Because there are spread horizontally on the x-axis.

So, the domain (x) is in R.

Finding the range :

In the given graph, the possible values of y are 1, 2, 3, 4……… there are spread vertically on the y-axis.

Because the graph starts at 1 on the y-axis.

So, the range (y) is y ≥ 1

Example 7 :

Solution :

Finding the domain :

In the given graph, the possible values of x (All the real values).

Because there are spread horizontally on the x-axis.

So, the domain (x) is in R.

Finding the range :

In the given graph, the possible values of y are 4, 3, 2, 1……… there are spread vertically on the y-axis.

Because the graph starts at 4 on the y-axis.

So, the range (y) is y ≤ 4

Example 8 :

Solution :

Finding the domain :

In the given graph, the possible values of x are -5, -4, -3, -2……… there are spread horizontally on the x-axis.

Because the graph starts at -5 on the x-axis.

So, the domain (x) is x ≥ -5

Finding the range :

In the given graph, the possible values of y (All the real values).

Because there are spread vertically on the y-axis.

So, the range (y) is in R.

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