Determine the correct half-plane in each case, and complete the graph.
8. y > 3
Graph each of the following inequalities.
16. 4x + y 4
28. 3x - 4y < 12
38. 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.
2. f (x) = x2 -7x + 10; find (a) f (0), (b) f (5), and (c) f (-2).
Rewrite each equation as a function of x.
18. -3x + 4y = 11
Graph the functions.
22. f (x)= -2x - 5
If f (x) = 4x - 3, find the following:
30. f (-1)
If f (x) = 5x - 1, find the following:
36. f (a - 2)
54. 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?
Graphs, trends and forecasting are investigated in the various given questions. The solution is detailed and well presented.