Determine the intervals of the domain over which each function is...

Question

Determine the intervals of the domain over which each function is continuous. See Example 1.

Accepted Answer

Hello, everyone. Using the following graph, we are going to write the domain for which the function is continuous and then present the domain in interval notation. Our graph has a curve that begins at the 0.50 and continues in the positive X direction. We have four intervals as our answer choices. Each of them has a slightly different end point. Recalling that domain is covering the X values. I'm gonna think about my end point which is 50 and I'm gonna identify that five is the X value there. The reason I do this is if there are no values to the left of the five, I know that that's gonna be the end point or the end of one of my intervals, there are no values to the left of the five. So five is going to be the first value into my, in my domain interval. Since it is a closed circle on the 505 is gonna be with a square bracket. And then since this does continue towards the positive infinity direction with no obvious breaks, our interval also continues to positive infinity. So the interval for our domain is from five with a square bracket, meaning it's included to positive infinity. And that's answer choice. B have a nice day.

Struggling with College Algebra?

Determine the intervals of the domain over which each function is continuous. See Example 1.

Watch next

Graphs and Coordinates practice set