The graph of f(x) is shown below. Estimate and list the value of x where f(x) has a horizontal tangent. 5+ 4- 3. 24 10 9 -8 7 0 5 -4 -2 9 10 -2

Use the graph of the function f to find (a) the domain of f, (b) the function values f(0) and f(3) and (c) the range of f.

Show that the function f(x)=3(x5)2+7 is not one-to-one.

The graph of fx=1/x is a .

A forest fire leaves behind an area of grass burned in an expanding circular pattern. If the radius of the circle of burning grass is increasing with time according to the formula r(t)=2t+1 , express the area burned as a function of time, t (minutes).

A ball is thrown in the air from the top of a building.Its height, in meters above ground, as a function of time, in seconds, is given by h(t)=4.9t2+24t+8. How long does it take to reach maximum height?

Digital cameras A company that produces and sells digital cameras has determined that the total weekly cost C of producing x digital cameras is given by the function C(x)=1.5x2150x+4850. Determine the production level that minimizes the weekly cost for producing the digital cameras and find that weekly minimum cost.

The path of a ball is modeled by the function f(x)=120x2+3x+5, where fx is the height (in feet) of the ball and x is the horizontal distance (in feet) from where the ball was thrown. (a) What is the maximum height of the ball? (b) Which number determines the height at which the ball was thrown? Does changing this value change the coordinates of the maximum height of the ball? Explain.

The number of cubic yards of dirt, D, needed to cover a garden with area a square feet is given by D=g(a) . a. A garden with area 5,000 ft2 requires 50 yd3 of dirt. Express this information in terms of the function g. b. Explain the meaning of the statement g(100)=1 .