Question

Is the range correct for this problem? ​

Answer 1

See below.

Explanation:

So, looking at the graph (and you graphed correctly, so nice job :D ) we can see that the range (the span of y-values) covered by the graph is everything less than or equal to 0. Therefore, our range should be all values less than or equal to 0. And this includes 0.

Therefore, in interval notation, our answer is:

`(-\infty,0]`

Your answer of:

`(0,-\infty)`

is incorrect for 2 reasons.

First, we need to use brackets for the 0 since we include it in our solution set. (5,0) is a valid point in the equation (it's also the vertex). Thus, we need to use brackets.

Second, traditionally, the smaller unit comes first. 0 is technically greater than negative infinity. Yes, the graph does go from 0 to negative infinity, but conventionally, we would still write negative infinity first.

And everything else is correct (maybe you forgot to add "flipped over x-axis for the first question," however?) so nice work!