A common inhabitant of human intestines is the bacterium Escherichia coli. A cell of this bacterium in a nutrient-broth medium d
1 answer:
Answer:
Step-by-step explanation:
Given that a common inhabitant of human intestines is the bacterium Escherichia coli.
A cell of this bacterium in a nutrient-broth medium divides into two cells every 20 minutes.
Initial population = 71 cells
Doubles in 1/3 of an hour
, where t is the no of hours.
Rate of growth = derivative of P
=
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The statements about the function that are true are
- The vertex of the function is at (–3,–16).
- The graph is increasing on the interval x > –3.
- The graph is positive only on the intervals where x < –7 and where x > 1.
The equation of the graph is given as
f(x) = (x - 1)(x + 7)
The graph of the function is added as an attachment
On the graph, we have
Vertex = (-3, -16)
This is so because the graph has a minimum point of (-3, -16)
Also, the graph crosses the x-axis at x = 1 and x = -7
This means that the graph is positive at x >1 and x >-7
Because the vertex is a minimum, the graph is increasing at the left of its symmetry i.e. x > -3
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