Question

The graph shows the number of birdhouses penn and his father can build if they have enough time to build no more than 10 birdhouses. what is the range of this graph?

Answer 1

Given:

The given graph shows that the number of birdhouses Penn and his father can build if they have enough time to build no more than 10 birdhouses.

To find:

We need to find the range of the given graph.

Solution:

If we observe the graph carefully,

• At $x=0$, the value of $y$ is equal to 0.
• At $x=1$, the value of $y$ is equal to 2.
• At $x=2$, the value of $y$ is equal to 4.
• At $x=3$, the value of $y$ is equal to 6.
• At $x=4$, the value of $y$ is equal to 8.
• At $x=5$, the value of $y$ is equal to 10.
• At $x=6$, the value of $y$ is equal to 12.
• At $x=7$, the value of $y$ is equal to 14.
• At $x=8$, the value of $y$ is equal to 16.
• At $x=9$, the value of $y$ is equal to 18.
• At $x=10$, the value of $y$ is equal to 20.

From the above points, it is clear that, $y$ values ranges from 0 to 20.

Therefore, the range of the given graph is $\{0,2,4,6,8,10,12,14,16,18,20\}$.