Question
Answered step-by-step
Image transcription text
Unit 4 Task - Polynomial Equations and Inequalities Please answer the following questions: {20 marks total) 1. Solve each of the following inequalities: [5 marks knowledge) a)2(r-5}>3r+5 b) t2>30-7t c)9u2-6u+1<0 d m3-5mZ-26m+12030 ) e)-2x4-'11x3+24x2+ 99x554 "3 and g(x) = x3. Plot both function for x 2 0. 2. On a s
...[Show More]
Question
Answered step-by-step
Image transcription text
Unit 4 Task - Polynomial Equations and Inequalities Please answer the following questions: {20 marks total) 1. Solve each of the following inequalities: [5 marks knowledge) a)2(r-5}>3r+5 b) t2>30-7t c)9u2-6u+1<0 d m3-5mZ-26m+12030 ) e)-2x4-'11x3+24x2+ 99x554 "3 and g(x) = x3. Plot both function for x 2 0. 2. On a sheet of graph paper, plot the function f(x) = x [4 marks communication) a) On which interval(s) is f{x) > g(x}? b) On which interval(s) is f{x) s g(x)? 3. Consider the equation (x - ?){x + 4)(x - 2)(3x + 1} > 56. Plot this function and solve the inequality graphically. Feel free to use graphing software such as Desmcs. Be sure to attach your graph. [3 marks knowledge) 4. Consider the function f(x) = 4(x - 2F - 10, for what value(s) of x is f(x) > 5'? Keep your answer in exact radical form. [2 marks thinking) 5. Provide an example of a polynomial function that has an average rate of change of -3 from x] = 2 to x2 = E and an instantaneous rate of change of -3 at x = '10. [2 marks thinking) 5. In your own words, describe the difference between the average rate of change and the instantaneous rate of change of a function. In both cases, state the formula that is used to perform the calculation, and provide an example of each calculation. [4 marks communication)
[Show Less]
