Technical Mathematics, Sixth Edition

5.6. CHAPTER 5 REVIEW PROBLEMS

1. Graph the following points and connect them with a smooth curve:

   x	0	1	2	3	4	5	6
   y	2		3	4	6	9	13

2. Plot the function y = x³ − 2x for x = −3 to +3. Label any roots or intercepts.

3. Graph the function y = 3x − 2x² from x = −3 to x = 3. Label any roots or intercepts.

4. Graphically find the approximate value of the roots of the equation

   (x + 3)² = x − 2x² +

5. Find the slope of the straight line

   1. having a rise of 8 in a run of 2 4

   2. connecting (−3, 5) and (2, 7) 2/5

6. Make a graph of the pressure p (lb/in.²) vs. v in an engine cylinder, where v is the volume (in.³) above the piston.

   p	39.6	44.7	53.8	73.5	85.8	113.2	135.8	178.2
   v	10.61	9.73	8.55	7.00	6.23	5.18	4.59	3.87

7. Write the equation of the line connecting (−2, 5) and (1, −3). y – 8/3x − 1/3

8. Write the equation of the line connecting (3.22, −1.43) and (2.51, 4.24). y = 27.1 − 7.99x

For problems 9 through 12, make a complete graph of each function, choosing domain and a range that include all of the features of interest.

1. y = 5x² + 24x − 12

2. y = 9x² + 22x − 17

3. y = 6x³ + 3x² − 14x − 21

4. y = 3x⁴ + 21x² + 21

For problems 13 and 14, write the equation of each straight line, and make a graph.

1. Slope = −2; y intercept = 4

2. Slope = 4; y intercept = −6

For problems 15 and 16, ...