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Graphs, Trends and Forecasting

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?


Solution Summary

Graphs, Trends and Forecasting are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.