Questions from General Calculus

Q: Refer to the cost function in Fig. 18.

Refer to the cost function in Fig. 18. Translate the task “find C(400)” into a task involving the graph.

Q: Let f (x) = x / x - 2,

Let f (x) = x / x - 2, g(x) = 5 – x / 5 + x, and h(x) = x + 1 / 3x - 1. Express the following as rational functions. f (x + 2) + g(x + 2)

Q: Relate to the function whose graph is sketched in Fig. 12

Relate to the function whose graph is sketched in Fig. 12. Find f (2) and f (-1).

Q: Refer to the cost function in Fig. 18.

Refer to the cost function in Fig. 18. If 500 units of goods are produced, estimate the cost of producing 100 more units of goods?

Q: Refer to the profit function in Fig. 19.

Refer to the profit function in Fig. 19. The point (2500, 52,500) is the highest point on the graph of the function. What does this say in terms of profit versus quantity?

Q: Refer to the profit function in Fig. 19.

Refer to the profit function in Fig. 19. The point (1500, 42,500) is on the graph of the function. Restate this fact in terms of the function P(x).

Q: Refer to the profit function in Fig. 19.

Refer to the profit function in Fig. 19. Translate the task “solve P(x) = 30,000” into a task involving the graph of the function.

Q: Refer to the profit function in Fig. 19.

Refer to the profit function in Fig. 19. Translate the task “find P(2000)” into a task involving the graph.

Q: A ball is thrown straight up into the air. The function

A ball is thrown straight up into the air. The function h(t) gives the height of the ball (in feet) after t seconds. In Exercises 45–50, translate the task into both a statement involving the function...

Q: A ball is thrown straight up into the air. The function

A ball is thrown straight up into the air. The function h(t) gives the height of the ball (in feet) after t seconds. In Exercises 45–50, translate the task into both a statement involving the function...