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Name: Instructor grading score: /92 points Math 95 Worksheet 2 Instructions: Please show all your work and use appropriate notation and formatting. You will be graded not only on your mathematical accuracy but on the work you show to get there. All word problems require a complete sentence containing relevant units of measure to answer the question. The main purpose of worksheet assignments is for you to show me what you understand and how you would present your reasoning so that I can give you feedback on both before you take your exam. You may use any available academic resources (your notes, your book, your peers, your instructor, tutors, open discussion board in D2L etc.) while working on this graded problem set. Please do this assignment by hand using the space provided on the worksheet and upload your completed worksheet as 1 pdf file (NOT JPEG, Word, OR a Zip folder) in the assignments tab in D2L by the assignment’s due date. If you don't have a scanner at home and can't make it to a library or a PCC campus (all of them have free scanners you can use) there are some great free scan apps you can download for your smartphone such as Adobe Scan. Do your best! §10.7 1) [4 points each] Solve the following equations by factoring. a) x2 + 3x = 28 b) 27 p2 −12 = 0 c) 2x2 −17x + 40 = 10 d ) 16 y2 − 40 y + 25 = 0 https://acrobat.adobe.com/us/en/mobile/scanner-app.html §11.1 [3pts each] 2) Let ( ) 12 3f x x= + + , 3 ( ) 2 5 x g x x = + , and 2( ) 4 12p x x x= − − . If any function is undefined, state so. a) Find f (-8) b) Find g(4) c) Find p(-2) d) Solve p(x) = 0 §11.2 e) State the domain of f using set-builder notation. f) State the domain of g using set- builder notation. §11.1 3) [3 pts each] A squirrel is scampering and climbing; jumping from one branch to another. It’s height (in feet), h(t), after t seconds is shown in Figure 1. a) Find and interpret h(15). b) Solve and interpret h(t) = 20. c) State the domain of h using interval notation. d) State the range of h using interval notation. §11.1 4) Eva bought a used car for $10,000. The car’s value decreases at a constant rate each year. After 8 years, the car is worth $6800. a) [4 pts] Write a linear function to model the car’s value as the number of years increases. (remember y=mx+b) b) [3 pts] Find the domain of this function in context. c) [3 pts] Find the range of this function in context. §11.4 5) [3 pts each] Let T be the function for which T (x) =-3x2 + 9x -7 . Find and simplify the following. a) T (4x) b) -T (x) c) T (x) + 8 d) T (x -1) **For #6 and #7, you do not need to show work as you will be using technology. The graphs you submit with each problem will suffice. §11.3 6) [2 pts each] Let q be a function for which 2( ) 18 50q x x x= − + + . Use graphing technology to determine the following. e) State the intercepts of this function. b) What is the vertex? c) What is the domain in interval notation? d) What is the range in interval notation? e) Evaluate q(10). f) Solve q(x) =100 . The solution set is _____ g) Include a copy of the of the graph you created here or put links to your graphs in the comments section with the intercepts and vertex labeled. 7) [2 pts each] Let a(x) = x2 + 7x - 60 and b(x) =9x + 20 . Use graphing technology to answer the following questions. f) What are the points of intersection? g) Solve a(x) = b(x). The solution set is c) Solve a(x)≤b(x). The interval set is (be careful with parenthesis and brackets?) d) Solve a(x) >b(x). The interval set is (be careful with parenthesis and brackets?) e) Include a copy of the graphs here or links to the graphs in the comment section you created with the points of intersection labeled. Name: Instructor grading score: /92 points Math 95 Worksheet 2 Instructions: Please show all your work and use appropriate notation and formatting. You will be graded not only on your mathematical accuracy but on the work you show to get there. All word problems require a complete sentence containing relevant units of measure to answer the question. The main purpose of worksheet assignments is for you to show me what you understand and how you would present your reasoning so that I can give you feedback on both before you take your exam. You may use any available academic resources (your notes, your book, your peers, your instructor, tutors, open discussion board in D2L etc.) while working on this graded problem set. Please do this assignment by hand using the space provided on the worksheet and upload your completed worksheet as 1 pdf file (NOT JPEG, Word, OR a Zip folder) in the assignments tab in D2L by the assignment’s due date. If you don't have a scanner at home and can't make it to a library or a PCC campus (all of them have free scanners you can use) there are some great free scan apps you can download for your smartphone such as Adobe Scan. Do your best! §10.7 1) [4 points each] Solve the following equations by factoring. a) x2 + 3x = 28 b) 27 p2 −12 = 0 c) 2x2 −17x + 40 = 10 d ) 16 y2 − 40 y + 25 = 0 https://acrobat.adobe.com/us/en/mobile/scanner-app.html §11.1 [3pts each] 2) Let ( ) 12 3f x x= + + , 3 ( ) 2 5 x g x x = + , and 2( ) 4 12p x x x= − − . If any function is undefined, state so. a) Find f (-8) b) Find g(4) c) Find p(-2) d) Solve p(x) = 0 §11.2 e) State the domain of f using set-builder notation. f) State the domain of g using set- builder notation. §11.1 3) [3 pts each] A squirrel is scampering and climbing; jumping from one branch to another. It’s height (in feet), h(t), after t seconds is shown in Figure 1. a) Find and interpret h(15). b) Solve and interpret h(t) = 20. c) State the domain of h using interval notation. d) State the range of h using interval notation. §11.1 4) Eva bought a used car for $10,000. The car’s value decreases at a constant rate each year. After 8 years, the car is worth $6800. a) [4 pts] Write a linear function to model the car’s value as the number of years increases. (remember y=mx+b) b) [3 pts] Find the domain of this function in context. c) [3 pts] Find the range of this function in context. §11.4 5) [3 pts each] Let T be the function for which T (x) =-3x2 + 9x -7 . Find and simplify the following. a) T (4x) b) -T (x) c) T (x) + 8 d) T (x -1) **For #6 and #7, you do not need to show work as you will be using technology. The graphs you submit with each problem will suffice. §11.3 6) [2 pts each] Let q be a function for which 2( ) 18 50q x x x= − + + . Use graphing technology to determine the following. e) State the intercepts of this function. b) What is the vertex? c) What is the domain in interval notation? d) What is the range in interval notation? e) Evaluate q(10). f) Solve q(x) =100 . The solution set is _____ g) Include a copy of the of the graph you created here or put links to your graphs in the