Solutions
Solutions to Try Its
1.
2. Possible answers include (−3,7), (−6,9), or (−9,11).
3.
4. (16, 0)
5. a. f(x)=2x
b. g(x)=−21x
6. y=−31x+6
7.
a. (0,5)
b. (5, 0)
c. Slope -1
d. Neither parallel nor perpendicular
e. Decreasing function
f. Given the identity function, perform a vertical flip (over the t-axis) and shift up 5 units.
Solutions to Odd-Numbered Exercises
1. The slopes are equal; y-intercepts are not equal.
3. The point of intersection is (a,a). This is because for the horizontal line, all of the y coordinates are a and for the vertical line, all of the x coordinates are a. The point of intersection will have these two characteristics.
5. First, find the slope of the linear function. Then take the negative reciprocal of the slope; this is the slope of the perpendicular line. Substitute the slope of the perpendicular line and the coordinate of the given point into the equation y=mx+b and solve for b. Then write the equation of the line in the form y=mx+b by substituting in m and b.
7. neither parallel or perpendicular
9. perpendicular
11. parallel
13. (−2, 0) ; (0, 4)
15. (51, 0) ; (0, 1)
17. (8, 0) ; (0, 28)
19. Line 1:m=8 Line 2:m=−6Neither
21. Line 1:m=−21 Line 2:m=2Perpendicular
23. Line 1:m=−2 Line 2:m=−2Parallel
25. g(x)=3x−3
27. p(t)=−31t+2
29. (−2,1)
31. (−517,35)
33. F
35. C
37. A
39.
41.
43.
45.
47.
49.
51.
53.
55.
57.
59. g(x)=0.75x−5.5 0.75 (0,−5.5)
61. y=3
63. x=−3
65. no point of intersection
67. (2, 7)
69. (−10, −5)
71. y=100x−98
73. x<2011999x>2011999
75. Less than 3000 texts
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- Precalculus. Provided by: OpenStax Authored by: Jay Abramson, et al.. Located at: https://openstax.org/books/precalculus/pages/1-introduction-to-functions. License: CC BY: Attribution. License terms: Download For Free at : http://cnx.org/contents/fd53eae1-fa23-47c7-bb1b-972349835c3c@5.175..