Answer:
Option A. x < -4
Step-by-step explanation:
The given function is f(x) = -(x + 6)(x + 2)
General form of the function will be,
f(x) = -(x² + 2x + 6x + 12)
= -(x² + 8x + 12)
Vertex form of the function will be,
f(x) = -[x² + 2(4)x + 12]
= -[(x² + 2(4)x + 16) - 16 + 12]
= -(x + 4)² + 4
Therefore, parabola for the function above will open down with vertex (-4, 4) as shown in the graph attached.
Graph shows the function is increasing in x < -4 and decreasing in x > -4.
Therefore, Option A. is the correct answer.
If you would like to know how much longer is Molly's jump rope, you can calculate this using the following steps:
6 1/3 feet long - 4 2/3 feet long = 6 1/3 - 4 2/3 = 19/3 - 14/3 = 5/3 = 1 2/3
The correct result would be 1 2/3 feet longer.
Answer:
The graph increases if the line goes upwards. (The end of the segment is above the start of the segment)
The graph decreases if the line goes downwards. (The end of the segment is below the start of the segment)
The graph is constant if the line is horizontal. (The end of the segment is at the same height as the start of the segment)
Then:
The graph of the function is increasing in the segments c and e.
The graph of the function is decreasing in the segments a and f.
The graph of the function is constant in the segments b and d.