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Sholpan [36]
4 years ago
8

Use the information about the graph of a polynomial function to determine the function. Assume the leading coefficient is 1 or −

1. There may be more than one correct answer.
The y-intercept is
(0, 9).
The x-intercepts are
(−3, 0), (3, 0).
Degree is 2.
End behavior: as
x → −∞,
f(x) → −∞,
as
x → ∞,
f(x) → −∞.
Mathematics
1 answer:
Liono4ka [1.6K]4 years ago
6 0

y = -x² + 9

the x-intercepts are x = - 3 and x = 3 hence the factors are

(x + 3 ) and (x - 3 )

polynomial is the product of its factors

y = a(x - 3 )(x + 3) ← ( a is a multiplier )

from the end behaviour the parabola opens down and is a maximum and so the value of a is negative

y = -(x - 3)(x+3) = - (x² - 9 ) = - x² + 9




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Step-by-step explanation:

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3 years ago
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8 0
3 years ago
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Alexus [3.1K]
  the value is 
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4 0
4 years ago
PLEASE HELP!!!!!!!!
vfiekz [6]

Answer:

about 78 years

Step-by-step explanation:

Population

y =ab^t  where a is the initial population and b is 1+the percent of increase  

    t is in years

y = 2000000(1+.04)^t

y = 2000000(1.04)^t

Food

y = a+bt   where a is the initial population and b is constant increase

    t is in years

b = .5 million = 500000

y = 4000000 +500000t

We need to set these equal and solve for t to determine when food shortage will occur

2000000(1.04)^t= 4000000 +500000t

Using graphing technology, (see attached graph  The y axis is in millions of years), where these two lines intersect is the year where food shortages start.

t≈78 years

8 0
4 years ago
Read 2 more answers
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