Sketch the graph that possesses the characteristics listed below. f'(- 1) = 0, 1"(- 1) < 0, 1( - 1) = 5; f'(3) = 0, t"(3) > 0, 1(3) = - 1; 1'"(1) = 0, f(1) = 2 Choose the correct graph below. O A. В. D.
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5,Sketch the graph that possesses the characteristics listed below.
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- Sketch the graph from x = 0 to x = 4p. y = cos x + cos x/2The following graph shows the approximate value of the United States Consumer Price Index (CPI) from December 2006 through July 2007. On the graph titled "CPI Dec 2006-July 2007," the horizontal axis is labeled t and the vertical axis is labeled I(t). The curve begins at the point (0, 202), goes up and right becoming more steep, passes through the approximate point (3.5, 205.5), goes up and right becoming less steep, and ends at the approximate point (7, 208.7). The approximating curve shown on the figure is given by I(t) = −0.04t3 + 0.4t2 + 0.1t + 202 (0 ≤ t ≤ 7), where t is time in months since the start of December 2006. (a) Use the model to estimate the monthly inflation rate in January 2007 (t = 1). Recall that the inflation rate is I′(t) I(t) . (Round your answer to three decimal places.)The following graph shows the approximate value of the United States Consumer Price Index (CPI) from December 2006 through July 2007. On the graph titled "CPI Dec 2006-July 2007," the horizontal axis is labeled t and the vertical axis is labeled I(t). The curve begins at the point (0, 202), goes up and right becoming more steep, passes through the approximate point (3.5, 205.5), goes up and right becoming less steep, and ends at the approximate point (7, 208.7). The approximating curve shown on the figure is given by I(t) = −0.04t3 + 0.4t2 + 0.1t + 202 (0 ≤ t ≤ 7), where t is time in months since the start of December 2006. (a) Use the model to estimate the monthly inflation rate in January 2007 (t = 1). Recall that the inflation rate is I′(t) I(t) . (Round your answer to three decimal places.) (b) Was inflation slowing or speeding up in January 2007? slowing downspeeding up (c) When was inflation speeding up? When was inflation…
- Use the guidelines of the section to make a complete graph of ƒ. ƒ(x) = x + 2 cos x on [-2π, 2π]The following graph shows the approximate value of the U.S. Consumer Price Index (CPI) from September 2004 through November 2005. On the graph titled "CPI Sep 2004-Nov 2005," the horizontal axis is labeled t and the vertical axis is labeled I(t). The curve begins at the point (0, 190), goes up and right becoming more steep, passes through the approximate point (8, 195), goes up and right becoming less steep, and ends at the approximate point (14, 199.9). The approximating curve shown on the figure is given by I(t) = −0.005t3 + 0.12t2 − 0.01t + 190 (0 ≤ t ≤ 14), where t is time in months since the start of September 2004. (a) Use the model to estimate the monthly inflation rate in July 2005 (t = 10). Recall that the inflation rate is I′(t) I(t) . (Round your answer to three decimal places.) % (b) Was inflation slowing or speeding up in July 2005? slowing downspeeding up (c) When was inflation speeding up? When was inflation slowing?…Sketch the graph of y = sin (x − c) for c = −π/4, 0, and π/4. How does the value of c affect the graph?
- The following graph shows a rough approximation of historical and projected median home prices for a country for the period 2000-2024. Here, t is time in years since the start of 2000, and C(t) is the median home price of thousands of dollars. The locations of stationary points and points of inflection are indicated on the graph. Analyze the graph’s important features, and interpret each figure feature in terms of the median home price. (Fill in the blanks.)How would the answers of these relat to the graph of y=tan(x)?The following graph shows a rough approximation of historical and projected median home prices for a country for the period 2000–2024. Here, t is time in years since the start of 2000, and C(t) is the median home price in thousands of dollars. The locations of stationary points and points of inflection are indicated on the graph. Analyze the graph's important features, and interpret each feature in terms of the median home price. The median home price was $_________ thousand at the start of 2000 (t = 0). The median home price has two low points; first in the year_______ and again in the year___________ when it stood at $________ thousand; The median home price peaked at the start of the year__________ at $_________ thousand. The median home price was decreasing most rapidly at the start of the year__________ when it was $___________ thousand, and increasing most rapidly at the start of the year__________ when it was $_________ thousand. Assuming that the trend shown in…