Thanks. 14. Determine the real values of a, b, and c for the quadratic functionf(x) = ax? + bx + c, a + 0, that satisfy the conditions f(0) = 0,lim f(x) = 5, and lim f(x) = 8.15. The fish population, in thousands, in a lake at time 1, in years, is modelled bythe following function:3 +2, if 0 <1s6p(t) =1|2 +, if 6 < t S 1218This function describes a sudden change in the population at time t = 6, dueto a chemical spill.a. Sketch the graph of p(t).b. Evaluate lim p(t) and lim p(t).c. Determine how many fish were killed by the spill.+6*d. At what time did the population recover to the level before the spill?

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Answered: 14. Determine the real values of a, b,…

14. Determine the real values of a, b, and c for the quadratic function f(x) = ax? + bx + c, a ± 0, that satisfy the conditions f(0) = 0, lim f(x) = 5, and lim f(x) = 8.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter9: Quadratic Functions And Equations

Section9.2: Transformations Of Quadratic Functions

Problem 50PFA

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Thanks.

14. Determine the real values of a, b, and c for the quadratic function
f(x) = ax? + bx + c, a + 0, that satisfy the conditions f(0) = 0,
lim f(x) = 5, and lim f(x) = 8.
15. The fish population, in thousands, in a lake at time 1, in years, is modelled by
the following function:
3 +
2, if 0 <1s6
p(t) =
1
|2 +, if 6 < t S 12
18
This function describes a sudden change in the population at time t = 6, due
to a chemical spill.
a. Sketch the graph of p(t).
b. Evaluate lim p(t) and lim p(t).
c. Determine how many fish were killed by the spill.
+6*
d. At what time did the population recover to the level before the spill?

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