What you do to on side of an equation (=) you must do to the other to keep both sides equal.
r3-2+2=+2 (add 2 to both sides of the equation to simplify the left side)
which becomes
r3=2
r3/3 = 2/3 (divide both sides by 3) Note 3/3 =1 and 1 r is the same as r
which becomes
r=2/3 .
Looking at the problem statement, this question states for us to determine the range of the function that is provided in a graph is. Let us first determine what range is.
- Range ⇒ Range is what y-values can be used in the function that is graphed. For example, if a line just goes up and down all the way to negative and positive infinity, then the range would be negative infinity to positive infinity as it includes all of the y-values in it's solutions.
Now moving back to our problem, we can see that we have a vertex at (2, -5) and that the lowest y-values is at y = -5. Therefore the y-values would be anything greater than or equal to -5 and less than infinity because the lines go forever up in the positive-y-direction.
Therefore, the option that would best match the description that we provided would be option B, -5 ≤ y < ∞.