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Bellwork

Bellwork. Find the inverse of each of the following if possible: f(x)=(x+2) 3 +1 f(x)=(x-1) 2 f(x)= -2 x+1. >Assuming you don’t have any more caffeine, how much caffeine will be in your system after 10 hours?.

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Bellwork

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  1. Bellwork Find the inverse of each of the following if possible: f(x)=(x+2)3+1 f(x)=(x-1)2 f(x)= -2x+1

  2. >Assuming you don’t have any more caffeine, how much caffeine will be in your system after 10 hours? You drink a beverage with 195 mg of caffeine. Each hour, the caffeine in your system decreases by about 12%. This means x=10… Milligrams of Caffeine (y) It looks like y is about 55… Let’s plug it in and see if we can figure it out more precisely… After 10 hours, you will still have 54.31 mg of caffeine in your system Number of Hours (x)

  3. >You start craving caffeine when you are down to having only 100mg of caffeine in your system. How long until you start craving caffeine? It looks like x is close to 5 You drink a beverage with 195 mg of caffeine. Each hour, the caffeine in your system decreases by about 12%. This means y=100… Milligrams of Caffeine (y) Could we plug in 100 for y and solve for x to get a more precise answer? We would get 100=195(0.88)xand NOW we do know how to solve this! Number of Hours (x)

  4. >You start craving caffeine when you are down to having only 100mg of caffeine in your system. How long until you start craving caffeine? This means y=100… It looks like x is close to 5 Milligrams of Caffeine (y) Number of Hours (x)

  5. You pour a cup of cold water and set it on the counter. It’s temperature (in degrees Fahrenheit) is given as a function of time (in minutes) by the equation which is graphed below. Temperature (Fahrenheit) Time (in minutes)

  6. You pour a cup of cold water and set it on the counter. It’s temperature (in degrees Fahrenheit) is given as a function of time (in minutes) by the equation which is graphed below. Is the water temperature increasing or decreasing? Temperature (Fahrenheit) Increasing! Time (in minutes)

  7. You pour a cup of cold water and set it on the counter. It’s temperature (in degrees Fahrenheit) is given as a function of time (in minutes) by the equation which is graphed below. Based on the graph, what is the initial temperature of the water? Temperature (Fahrenheit) About 35 degrees Time (in minutes)

  8. You pour a cup of cold water and set it on the counter. It’s temperature (in degrees Fahrenheit) is given as a function of time (in minutes) by the equation which is graphed below. Time equals 0, x=0 Temperature (Fahrenheit) Use the equation to determine the initial temperature of the water. Time (in minutes)

  9. You pour a cup of cold water and set it on the counter. It’s temperature (in degrees Fahrenheit) is given as a function of time (in minutes) by the equation which is graphed below. What is the temperature of the room? Temperature (Fahrenheit) 70 degrees Time (in minutes)

  10. You pour a cup of cold water and set it on the counter. It’s temperature (in degrees Fahrenheit) is given as a function of time (in minutes) by the equation which is graphed below. Based on the graph, after how long will the water be 50 degrees? Temperature (Fahrenheit) About 25 minutes… Time (in minutes)

  11. You pour a cup of cold water and set it on the counter. It’s temperature (in degrees Fahrenheit) is given as a function of time (in minutes) by the equation which is graphed below. Use the equation to determine after how long the water will be 50 degrees? Temperature=50, y=50 Temperature (Fahrenheit) Time (in minutes)

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