Question

The population of a specific strain of bacteria in a culture medium is given by f(x) = x + 3 where f(x)is the population in millions and x

is the time in hours. Find the piecewise function that matches this absolute value function. Then, graph the function using a graphing calculator
and describe what you see.

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Answer 1

Explanation:

f(x) = { 0, x<0; 0 <= x, (x +3) * 1000000 }

(Note the graph ought to flatten to zero for x < 0)

Answer 2

You need to write it’s piecewise function if

x < -3, the term x+3 becomes negative. So , for all values of x < -3 , the term becomes -(x+3)

Piecewise will be

F(x) = square root of (x+3) when x is greater than or equal to -3

F(x) = square root of -(x+3) when x less than or equal to -3