Determine whether this relation represents a function. For each function, state the domain and range.

{(3,4), (-3,4), (4,9), (3,10)}

Is this a function?
Domain
Range

Use the graph of the function f given below.

Choose the numbers at which f has a local maximum. (Select all that apply.)

What are these local maxima?

Determine the quadratic function whose graph is given.

f(x) =

Enter a mathematical expression.

1

The number N of cars produced at a certain factory in 1 day after t hours of operation is given by N(t) = 100t - 5t², 0 < t < 10. If the cost C (in dollars) of producing N cars is C(N) = 16000 + 7000N, find the cost C as a function of the time t of operation of the factory.
C(t) =

Enter a mathematical expression.

1

The normal healing of wounds can be modeled by an exponential function. If A₀ represents the original area of the wound and if A equals the area of the wound, then the formula below describes the area of a wound after n days following an injury when no infection is present to retard the healing.

A = A₀e^-0.33n

Suppose that a wound initially had an area of 100 square millimethers.

(a) If healing is taking place, after how many days will the wound be one-half its original size?

Enter a number.

1 days
(b) How long before the wound is 10% of its original size?

Enter a number.

2 days