Determine the correct half-plane in each case, and complete the graph.

1. y > 3

Graph each of the following inequalities.

2. 4x + y ≥ 4

3. 3x - 4y < 12

4. Number problems. You have at least $30 in change in your drawer, consisting of dimes and quarters. Write an inequality that shows the different number of coins in your drawer.

Evaluate each function for the value specified.

5. f (x) = x² -7x + 10; find (a) f (0), (b) f (5), and (c) f (-2).

Rewrite each equation as a function of x.

6. -3x + 4y = 11

Graph the functions.

7. f (x)= -2x - 5

If f (x) = 4x - 3, find the following:

8. f (-1)

If f (x) = 5x - 1, find the following:

9. f (a - 2)

10. Business and finance. If the inventor in exercise 53 charges $4 per unit, then her profit for producing and selling x units is given by the function

P(x) = 2.25x - 7000

(a) What is her profit if she sells 2000 units?

(b) What is her profit if she sells 5000 units?

(c) What is the break-even point for sales?