5. (5 points) Students have substituted into the quadratic formula and are trying to simplify, but make errors. For each case, identify what the error is AND make a suggestion of something the student could do to avoid the error. Be specific (an answer of " calculate more carefully" is not specific enough.) 4 x 2 - 5 x - 2 =0 Error Suggestions *est J - 52- 4(4)(-2) 2.4 X = 5+ J- 25+ 32 (5.1) . . X = 6 t J 10 2 X = 3 + 10 (5.2) 6. (5 points) Knowing the vertex of a quadratic function helps you find its range, but it isn't enough. Explain what else you would need to know about the quadratic polynomial and how it would affect the range. 7. (6 points) If the supply function for XT-tires is p = q2 +5q -796 where p is the price that corresponds to the quantity q. The demand function is p = -q2 + 6q + 2093. Find the market equilibrium point. (q, p) =Use the space below to keep working on QQuestion 7. But write your final answer in the indicated area of the previous page. 8. This is a 3.3 problem. The goal is to have students think about graph shapes and how they are related to the numbers of solutions to application problems. (8.1) (2 points) Look at Section 3.3 Example 1 on pages 164-165 of the textbook. The revenue function is a quadratic function. What type of function is the cost function? (8.2) (6 points) Consider a different situation. The cost function C(z) and the revenue function R(x) are both quadratic functions whose input is the number of products and whose output is dollars. Sketch a graph for each of the following scenarios. On each graph, label which function is which and what the axes represent. two break-even points one break-even point no break even points 9. Consider supply and demand equations. (9.1) (2 points) In Section 3.3 Example 3.3 (pages 166-167 or page 168 in some versions), both the supply and demand equations are quadratic and they intersect in two points. Why then, is there only one equilibrium quantity and price? (9.2) (3 points) A classmate asks if it would be possible to have a supply and demand equation like this, where there are two equilibrium points: supply demand Explain why it does not make sense to have a demand curve whose vertex is on the positive side of the z-axis. 10. (0 points) Special Word! There's nothing to fill in for this question and it's not worth points this week...but after the quiz is graded, look at the feedback in Gradescope to this question to find the special word for next weel. 11. (0 points) If there are any issues with formatting or if the quiz is submitted late (Wednesday or Thursday), you will see feedback here. Page 5