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X MATH118_Spring22_HW4.ndf 2021-11-09.ndf x + + File C:/Users/arian/Downloads/MATH11B_Spring 2 HW4.pdf to 伯 Not syncing 2 2 of 2 Q a Highlight Erase 6 503 | Page view A Read aloud w Add lexi V Draw 2. Consider the following functions. Determine the average rate of change between the given vlucs of the variable. (a) f(x) = 3a + 2; 1=1,2=3 (c) h(r) = *siz=-1, 1 = 1 (b) git) = -162 +10 +0.71 (d) h(r) -1,13 3. Jordan has a swimming pool that they're emptying. Initially, the pool has 35,000 gallons Jordan is able to remove 7 gallons a minute. Write a function, f, that describes how much water is left in the swimming pool at any given time . 4. Charlic found that in October their driving cost was $280 for 380 mi and in November their cuest was $360 for 700 mi. Aume that there is a linear relationship between the monthly cost of driving a car and the distance r driven. Find the linear function C that makes the cont of driving or miles per month 5. Caroline and Laura are eating scones together for brunch. Caroline loves scones and, starting with 20 sconcs, cats them at a rate of 1 pet minute. Laura likes to savor her sons and consumes a quarter of a score every minute. I don't know how many Laura started with, but I know after 20 minutes or had 5 sconcs left. (a) Assuming the relationship is linear, write a function C(I) that describes how many scones Caroline has left to eat after 1 minutes (b) Assuming the relationship in linear, write a function L(A) that describes how many scones Laura has left to eat alter minutes. 6. For each, explain in a sentence or two how the graph of g can be obtained from the graph of using function transformations (a) f(x) = 2, 9() = 2: +2 (c) Sir) = VI, (1) = -5. (b) f(x) (r) - 7. For cach function and set of transformations below, write the new function that archives that transformation. Then, grapla the new (transformed) function. Pay attention to the order of the transformations-it matters! (a) f(x) = 2: Rotroct about the s-axis, shift down 2 units. (b) glu) = ??: Shift down 2 units, reflect about the r-axis. (c) hic) - : Reflect about the y-rxis, then shrink horizontally by a factor of (d) k) = 12Shift left by 3 units, down by 2 units, and shrink vertically by a factor of c= 75F Sunny 2:18 PM 5/4/2022