For the two given parabolas we will see:
1) A is increasing.
2) both functions are negative is (-7, -2)
3) B has the largest value when x = -3.
On the interval where function B is decreasing, is function A increasing or decreasing?
First, we know that both functions are parabolas.
By looking at the table that defines function B, we can see that the interval in which this function decreases is from x = -1 onwards. So the interval is:
[-1, ∞)
Now, if you look at the graph for parabola A, you can see that it is increasing on that interval.
When both functions are both negative?
Parabola B is almost always negative, except for x = -1.
Parabola A is negative in the interval (-7, -2)
Then we conclude that the interval in where both functions are negative is (-7, -2)
Which function has the greatest value when x = -3?
For function A:
A(-3) = -5
For function B:
B(-3) = -3
So function B has the greatest value when x = -3.
If you want to learn more about parabolas:
#SPJ1
