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?

The daily cost (in dollars) of producing x units of a certain product is given by the function C(x) = 225 + 36.5x - .9x2 + .01x3. Graph C(x) in the window [0, 70] by [ -400, 2000].

If f(4) = 10 then the point (4,          ) is on the graph of f.

1. A liquid starts at an initial temperature of 175 C and cools down in a room held at a constant temperature of 16 C. It's temperature can be modeled, as a function of time cooling, by the equation y=a(b) +c. which of the following statements is true? (1) a=159 andc=16 (3) a=175 andc=16 (2) a=16 andc=159 (4) a=16 and c=175 14

1. A Point of the function f(x) is given; find the corresponding point on the given functions (such as f(x) +2, f(x)-3, f(x+5) etc), which is transformed from f(x). f(x) (2, -3) f(x) + 2 f(x) - 3 f(x + 5) 2. Describe how the graph of the equation relates to the graph of y=x². f() = (x + 8)² - 4 (Choose one correct response) A. a translation 8 units to the right and 4 units up B. a translation 4 units to the right and 8 units up C. a translation 8 units to the left and 4 units up D. a translation 8 units to the left and 4 units down - f(x) f(-x) f(2x) 2f(x) -f(x-4)