Week-11

This week in math10 we continued our unit of linear relations, but we learned how to find the domain and the range for our graph. The way we write it is still the same, like the closed and open dots or the greater than or less than and etc. The domain of a graph are like it’s walls and as for the range of the graph it acts like it’s floor and ceiling.

Domain and Range

Example #1:

For this example, first let’s start off by finding the domain, to find it we will read it from left to right, look at the x-axis. So, on our left we have -12 and then on our right we have 10, so those are our “walls”. To finish off our domain we would write: -12 ≤ x ≤ 10, we use the less than and equal to sign because both points are closed dots. We have “x” in the middle because like they are “walls” they would be on the x-axis. Now let’s find the range, the lowest and highest points of the graph at the bottom we have -8 then at the top we have 10, we write: -8≤ y≤ 10 as our final answer because the lowest and highest points are closed dots and go along the y-axis.

Example #2:

For our second example, the process will be the same, first we look at the x-axis from the left to right for the domain, on the far left there is -6 and then on the opposite side there is 10. Those are the “walls” of our graph, so we write: -6≤ x < 10, the first dot is closed and the second one is opened. Now let’s find our range, we look at the highest and lowest point or line in this case. First our lowest point the line reaches is -4 and our highest is 4. So, we will write: -4 ≤ y ≤ 4, the highest point is a closed dot and the line is just there so we would say it’s also a closed dot.