Question

9. The fish population, in thousands, in a lake at any time, $x$, in years is modelled by the following function: $f(x) = egin{cases} 2^x, & ext{if } 0 le x le 6 \ 4x + 8, & ext{if } x > 6 end{cases}$ This function describes a sudden change in the population at time $x = 6$, due to a chemical spill. a) Sketch the graph of the piecewise function. b) Describe the continuity of the function. c) How many fish were killed by the chemical spill? d) At what time did the population recover to the level it was before the chemical spill? e) Describe other events relating to fish populations in a lake that might result in piecewise functions.

          9. The fish population, in thousands, in a lake at any time, $x$, in years is modelled by the following function:
$f(x) = egin{cases} 2^x, & 	ext{if } 0 le x le 6 \ 4x + 8, & 	ext{if } x > 6 end{cases}$
This function describes a sudden change in the population at time
$x = 6$, due to a chemical spill.
a) Sketch the graph of the piecewise function.
b) Describe the continuity of the function.
c) How many fish were killed by the chemical spill?
d) At what time did the population recover to the level it was before the chemical spill?
e) Describe other events relating to fish populations in a lake that might result in piecewise functions.

9. The fish population, in thousands, in a lake at any time, x, in years is modelled by the following function:
f(x) = egincases 2^x, extif 0 le x le 6 4x + 8, extif x > 6 endcases
This function describes a sudden change in the population at time
x = 6, due to a chemical spill.
a) Sketch the graph of the piecewise function.
b) Describe the continuity of the function.
c) How many fish were killed by the chemical spill?
d) At what time did the population recover to the level it was before the chemical spill?
e) Describe other events relating to fish populations in a lake that might result in piecewise functions.

Added by Caleb C.

Question

Please give Ace some feedback