Problem 8 Write the function if 0 2. in terms of unit step function and find L (f).

In this problem you are asked to find a function that models in real life situation and then use the model to answer questions about the guidelines on page 273 to help you. Minimizing Time A man stands at a point A on the bank of a straight river, 2 mi wide. To reach point B, 7 mi downstream on the opposite bank, he first rows his boat to point Pon the opposite bank and then walks the remaining distances x to B, as shown in the figure. He can row at a speed or 2 mi/h and walk as a speed of mi/h (a) Find a function that models the time needed for the trip. (b) Where should he land so that he reaches B as soon as possible?

How do you find the domain for the composition of two functions, fg ?

Find the unknown value. y varies inversely as the square of x and when x=3,y=2. Find y if x=1.

Use your schools library, the Internet, or some other reference source to find real-life applications of approximations of functions.

The half-life of plutonium-244 is 80,000,000 years. Find function gives the amount of carbon-14 remaining as a function of time, measured in years.

When examining the formula of a function that is the result of multiple transformations, how can you tell a horizontal shift from a vertical shift?

When examining the formula of a function that is the result of multiple transformations, how can you tell a horizontal stretch from a vertical stretch?

Why do we restrict the domain of the function f(x)=x2 to find the function's inverse?

When examining the formula of a function that is the result of multiple transformations, how can you tell a reflection with respect to the x-axis from a reflection with respect to the y-axis?