# 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?

https://brainmass.com/math/graphs-and-functions/graphs-trends-forecasting-160293

#### Solution Summary

Graphs, trends and forecasting are investigated in the various given questions. The solution is detailed and well presented.