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Appendix C Answers to Exercises
I Preparation for STEM
1 Topics in Graphing
1.1 Review of Graphing
1.1.4 Exercises
1.1.4.5.
Answer.
\(-1;\,-8;\,0;\,0;\,1;\,8;\,2;\,16;\,3;\,24\)
1.1.4.7.
Answer.
\(-1;\,-13;\,0;\,-5;\,1;\,3;\,2;\,11;\,3;\,19\)
1.1.4.9.
Answer.
\(-8;\,-19;\,0;\,-8;\,8;\,3;\,16;\,14;\,24;\,25\)
1.1.4.11.
Answer.
\(-11;\,-17;\,0;\,-4;\,11;\,9;\,22;\,22;\,33;\,35\)
1.1.4.13.
Answer.
| \(x\) |
\(y=2x+3\) |
Point |
| \(-2\) |
\(-1\) |
\((-2,-1)\) |
| \(-1\) |
\(1\) |
\((-1,1)\) |
| \(0\) |
\(3\) |
\((0,3)\) |
| \(1\) |
\(5\) |
\((1,5)\) |
| \(2\) |
\(7\) |
\((2,7)\) |
1.1.4.15.
Answer.
| \(x\) |
\(y=\frac{4}{3}x\) |
Point |
| \(-3\) |
\(-4\) |
\((-3,-4)\) |
| \(0\) |
\(0\) |
\((0,0)\) |
| \(3\) |
\(4\) |
\((3,4)\) |
1.1.4.17.
Answer.
| \(x\) |
\(y=x^2+1\) |
Point |
| \(-2\) |
\(5\) |
\((-2,5)\) |
| \(-1\) |
\(2\) |
\((-1,2)\) |
| \(0\) |
\(1\) |
\((0,1)\) |
| \(1\) |
\(2\) |
\((1,2)\) |
| \(2\) |
\(5\) |
\((2,5)\) |
1.1.4.19.
Answer 1.
Answer 2.
Answer 3.
Answer 4.
Answer 5.
Answer 6.
1.1.4.21.
Answer 1.
Answer 2.
Answer 3.
Answer 4.
Answer 5.
Answer 6.
1.1.4.23.
Answer.
\(x\)-intercept:
\((2,0)\)
\(y\)-intercept:
\((0,-5)\)
1.1.4.25.
Answer.
\(x\)-intercept:
\((-15,0)\)
\(y\)-intercept:
\((0,-3)\)
1.2 Key Features of Quadratic Graphs
1.2.6 Exercises
1.2.6.1.
Answer 1.
Answer 2.
Answer 3.
Answer 4.
Answer 5.
Answer 6.
Answer 7.
Answer 8.
Answer 9.
Answer 10.
1.2.6.3.
Answer 1.
Answer 2.
Answer 3.
Answer 4.
Answer 5.
Answer 6.
Answer 7.
Answer 8.
Answer 9.
Answer 10.
1.2.6.9.
1.2.6.11.
1.2.6.13.
1.2.6.15.
1.2.6.17.
1.2.6.19.
Answer 1.
Answer 2.
\(\left(-{\frac{3}{2}},{\frac{19}{4}}\right)\)
1.2.6.21.
1.2.6.23.
1.2.6.25.
1.2.6.27.
1.2.6.45.
1.2.6.47.
1.2.6.49.
Answer 1.
Answer 2.
Answer 3.
1.2.6.51.
Answer 1.
Answer 2.
Answer 3.
1.2.6.53.
Answer 1.
Answer 2.
Answer 3.
1.2.6.55.
Answer 1.
Answer 2.
Answer 3.
1.2.6.57.
Answer 1.
Answer 2.
Answer 3.
Answer 4.
1.3 Graphing Quadratic Expressions
1.3.6 Exercises
1.3.6.1.
1.3.6.3.
1.3.6.5.
1.3.6.7.
Answer.
\(\left\{\frac{\sqrt{493}}{17},\frac{-\sqrt{493}}{17}\right\}\)
1.3.6.9.
Answer.
\(\left\{\frac{-4-2\sqrt{7}}{3},\frac{-4+2\sqrt{7}}{3}\right\}\)
1.3.6.11.
Answer.
\(\text{no real solutions}\)
1.3.6.13.
Answer 1.
Answer 2.
\(\left(-3,0\right), \left(-1,0\right)\)
1.3.6.15.
Answer 1.
Answer 2.
\(\left(-1,0\right), \left(1,0\right)\)
1.3.6.17.
Answer 1.
Answer 2.
\(\left(0,0\right), \left(1,0\right)\)
1.3.6.19.
1.3.6.21.
1.3.6.23.
1.3.6.25.
Answer 1.
Answer 2.
\(\left(4.8541,0\right), \left(-1.8541,0\right)\)
1.3.6.27.
Answer 1.
Answer 2.
\(\left(-0.807418,0\right), \left(-6.19258,0\right)\)
1.3.6.29.
1.3.6.31.
Answer 1.
Answer 2.
\(\left(4.5,0\right), \left(1,0\right)\)
1.3.6.53.
Answer 1.
Answer 2.
Answer 3.
Answer 4.
Answer 5.
Answer 6.
1.3.6.55.
Answer 1.
Answer 2.
Answer 3.
Answer 4.
Answer 5.
Answer 6.
1.3.6.57.
1.3.6.59.
1.3.6.61.
1.3.6.63.
1.3.6.65.
Answer 1.
\(\left(\frac{-n-\sqrt{n^{2}-4p}}{2},0\right), \left(\frac{-n+\sqrt{n^{2}-4p}}{2},0\right)\)
Answer 2.
Answer 3.
\(\left(\frac{-n}{2},\frac{4p-n^{2}}{4}\right)\)
1.4 Graphically Solving Equations and Inequalities
1.4.4 Exercises
1.4.4.1.
1.4.4.3.
1.4.4.5.
1.4.4.7.
1.4.4.9.
Answer 1.
\(\left(-6,5\right), \left(2,5\right)\)
Answer 2.
Answer 3.
\(\left(-\infty ,-6\right)\cup \left(2,\infty \right)\)
1.4.4.11.
Answer 1.
\(\left(-2.5,-5\right), \left(4,-5\right)\)
Answer 2.
\(\left\{-2.5,4\right\}\)
Answer 3.
1.4.4.13.
Answer 1.
\(\left(-2,3\right), \left(2,-1\right)\)
Answer 2.
Answer 3.
\(\left(-\infty ,-2\right)\cup \left(2,\infty \right)\)
1.4.4.15.
Answer 1.
\(\left(-2,-2\right), \left(0,0\right), \left(2,2\right)\)
Answer 2.
\(\left\{-2,0,2\right\}\)
Answer 3.
\(\left(-2,0\right)\cup \left(2,\infty \right)\)
1.4.4.17.
Answer 1.
\(\left(-3,1\right), \left(5,3\right)\)
Answer 2.
Answer 3.
1.4.4.19.
Answer 1.
\(\left(-2,-2\right), \left(0,0\right)\)
Answer 2.
Answer 3.
\(\left(-\infty ,-2\right)\cup \left(0,\infty \right)\)
1.5 Topics in Graphing Chapter Review
1.5.5 Exercises
1.5.5.1.
Answer.
\(-1;\,18;\,0;\,0;\,1;\,-18;\,2;\,-36;\,3;\,-54\)
1.5.5.3.
Answer.
\(-4;\,-8;\,0;\,-5;\,4;\,-2;\,8;\,1;\,12;\,4\)
1.5.5.5.
Answer.
| \(x\) |
\(y=2x+3\) |
Point |
| \(-2\) |
\(-1\) |
\((-2,-1)\) |
| \(-1\) |
\(1\) |
\((-1,1)\) |
| \(0\) |
\(3\) |
\((0,3)\) |
| \(1\) |
\(5\) |
\((1,5)\) |
| \(2\) |
\(7\) |
\((2,7)\) |
1.5.5.7.
Answer 1.
Answer 2.
Answer 3.
Answer 4.
Answer 5.
Answer 6.
1.5.5.9.
Answer.
\(x\)-intercept:
\((-18,0)\)
\(y\)-intercept:
\((0,15)\)
1.5.5.11.
1.5.5.13.
1.5.5.15.
1.5.5.17.
Answer 1.
Answer 2.
\(\left(-0.5,-3.5\right)\)
1.5.5.19.
1.5.5.31.
Answer 1.
Answer 2.
\(\left(-5,0\right), \left(1,0\right)\)
1.5.5.33.
1.5.5.35.
Answer 1.
Answer 2.
\(\left(1.54138,0\right), \left(-4.54138,0\right)\)
1.5.5.37.
Answer 1.
Answer 2.
\(\left(-1.8,0\right), \left(1,0\right)\)
1.5.5.49.
Answer 1.
Answer 2.
Answer 3.
Answer 4.
Answer 5.
Answer 6.
1.5.5.51.
1.5.5.57.
Answer 1.
\(\left(-6,5\right), \left(2,5\right)\)
Answer 2.
Answer 3.
\(\left(-\infty ,-6\right)\cup \left(2,\infty \right)\)
1.5.5.59.
Answer 1.
\(\left(-2,3\right), \left(2,-1\right)\)
Answer 2.
Answer 3.
\(\left(-\infty ,-2\right)\cup \left(2,\infty \right)\)
1.5.5.61.
Answer 1.
\(\left(-3,1\right), \left(5,3\right)\)
Answer 2.
Answer 3.
