13. Given the graphs of f(x), g(x) and h(x), determine: -3 -2 -1 =h(x) a) f(3) d) h(g(1)) -2 -1 10 y = f(x) АЛА 1 b) (h-f)(5) e) (foh)(-3) c) (fx h) (0) f) (g° g)(3)

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?

Why does the vertical line test tell as whether the graph of a relation represents a function?

Why does the horizontal line test tell us whether the graph of a function is one-to-one?

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

How would the graph of f(x) = ✔x be affected if it were changed to g(x) = -2✔x?

#4. Determine the following attributes of f(x)=log,(3x+1) + 2. a) `Find the x-intercept(s) of flx). Give simplified, exact answer(s). x-intercept(s): (coordinate pair(s)) Simplified! b) Find the domain of f(x). Domain: (Interval Notation)

An online store owner has 2,000 orders to fulfill. Each day, the store owner aims to complete one-third of the orders remaining from the previous day. Write the function that models the change between the number of days , t, and the number of orders remaining, f(t).

Explain how to find f (a) geometrically from the graph of y = f (x).