The graph of f ′ (x), the derivative of f of x, is continuous for all x and consists of five line segments as shown below. given f (–3) = 6, find the absolute maximum value of f (x) over the interval [–3, 0].

graph of line segments increasing from x equals negative 4 to x equals negative 3, decreasing from x equals negative 3 to x equals 0, increasing from x equals 0 to x equals 3, constant from x equals 2 to x equals 4 and decreases from x equals 4 to x equals 5. x intercepts at x equals negative 4, x equals 0, x equals 5.

3
4.5
6
10.5

Answer

10.5

Step-by-step explanation:

The other answer is correct until solving for C.  f(-3) = 6, not -6.  So C = 21/2.  This makes f(0) = 10.5.  Local Max should occur at x intercepts on the f'(x) graph.

total amount of money that he should pay if he has not used his duty free exemption is $98

step-by-step explanation:

given a united states citizen returning to the states declares the following items at the customs office: 3 shirts at $8.50 each 2 dresses at $27.50 each 1 pair of gold cuff links at $17.50 per pair. we have to find how much he pay

cost of 3 shirts if one cost at $8.50 is

cost of 2 dresses if one cost at $27.50 is  

cost of 1 pair of gold cuff at $17.50

so, total amount of money that he should pay if he has not used his duty free exemption is   $25.5+$55+$17.50=$98