In Problems 7–12, find the median.
10.
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- 18. 2. If f(x)=3x²-7 for all real numbers x, which of the following is equal to f(3) +ƒ(4)² A. (0) + (5) B. (6)-f(4) C. (6)+(1) D. f(7)-f(3) 1 *Show/Illustrate/Explain all work that leads to your answer*arrow_forward3. Find all numbers c which satisfy the conclusion of the Mean Value Theorem for the function f (x) = x² +3x-1 on the interval (-3,1]. %3Darrow_forward4. if x1arrow_forward
- 2. Jim and Catherine are again interested in adjusting the 0-1 variables from Case 2.2 so that theycan examine different scenarios. However, theyrealize that the number of combinations of thetwo 0-1 variables they have control of, low-endversus high-end and mildly aggressive marketing versus very aggressive, is a small number,2×2 = 4. Therefore, they want you to use aRISKSIMTABLE function, with an index from 1to 4, so that a single @RISK run with 4 simulations can be made. You will have to use lookupfunctions so that the two 0-1 variables changeappropriately as the index of RISKSIMTABLEvaries from 1 to 4. As for the third 0-1 variable, whether the competition will introducea competing product, they want you to modelthis probabilistically, using a RISKBERNOULLIfunction with parameter 0.3. This simply indicates that there is a 30% chance of a competingproductarrow_forward5.arrow_forward2 3: If u(x) = 8 for 0sxs100 find the mean, mode and median of the age 100 -x 400-x at death of a newborn.arrow_forward
- In Problems 15–18, solve the inequality by using the graph of the function.arrow_forward1. If f(x) is a function such that f(1) = 2, f(n + 1) = (3f(n)+1)/3 for n = 1, 2, 3, ..., what is the value of f(100)?arrow_forwardSuppose that the functions q and r are defined as follows. q (x) = x²+7 r(x) = /x+8 Find the following. (a • r)(!) = 0 (r • 9)(1) = 0 ? %3!arrow_forward
- Consider each of the following relations (x, y) ER, where x = {1, 2, 3, 4, 5} and y E N. Which of the following relations are also functions? Chapter 11.1 on zyBooks {(1,5), (2, 5), (3, 5), (4, 5), (5,5)} □ {(1, 1), (1, 2), (2, 2), (2, 3), (3, 3), (3, 4), (4,4), (4, 5), (5,5)} {(1, 1), (2, 2), (3, 3), (4,4), (5,5)} {(1,4), (3, 1), (2, 5), (3, 4), (5, 1), (4,7)} {(1,5), (2, 4), (3, 3), (4,2), (5, 1)} {(1, 3), (5, 3), (2, 3), (4, 3), (3, 2)} {(1, 1), (2, 4), (3, 9), (4, 15), (5, 25)} {(3, 1), (3, 2), (3, 3), (3, 4), (3,5)}arrow_forward7. Verify the mean value theorem for the function f (x) = 25 – x over -5, 3 and find all the possible values for c in the given intervalarrow_forward6. Determine the discontinuities of the following function: (x² if x≤-1 2x+3 if-16 x-6arrow_forward
- Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell