# 8.6 write and graph exponential decay functions

How much of the milligram dose will be in the patient s bloodstream after 4 hours? You will eplore this relationship in Eercise Provide additional opportunities to write exponential functions given their graphs.

Estimate About how old will the first athlete be when her maimal ogen consumption is equal to what the second athlete s maimal ogen consumption is at age 5?

Warm Up 10 minutes For class today, I bring a ball that will bounce well on the classroom floor. How much is the business worth after 4ears? Another 5-ear-old female athlete has a maimal ogen consumption of 3.

Solve the equation p. A function rule is 5 0. Then find a 7.

Now You will write and graph eponential deca functions. Write a function that models the value of the house over time. Ask students what they notice about the appearance of this graph in comparison to the exponential growth graph? About how man acres will be left in 00?

Discuss with the student differences in the rates of increase of the two functions and relate these differences to the forms of the equations.

The initial value is 4, and the deca rate is P 5 a r t Write eponential deca model. The term is the corresponding -value.

I ask the class to record the data about the height of the bounces individually. Use this fact to find the distance between the th and 3th frets.

Drawing a Graph Use the table in part b to graph the function. Write a function that models the number of bats since How would you describe this graph? I give students a minute to write down as many observations as they can about what they notice about the ball as it bounces each time.

Write a rule for the function. In real life, the ball eventually just stops bouncing. Describe and correct the error in writing a function that models the value of the car since a r t 5 5, 0.

Then find a 0. Value dollars 60, 80, 0, 5,9, Time ears a. Write a function that models the amount of the medication in the patient s bloodstream over time.Graphing Exponential Decay Functions. Add to Favorites.

3 teachers like this lesson. Print Lesson. Write a function that describes a relationship between two quantities.* (some students may have already used this value).

All students can now use their 6 values to make a sketch of the exponential decay graph. Exponential Decay Functions Maintaining Skills.

Links: Career and Applications Data Updates (pdf) Chapter 8: Exponents and Exponential Functions Exponential Growth Functions. Problem Solving Help. Help for Exercises 33 and 34 on page In Exercise 33, You can write an equation based on this information.

Write and Graph Exponential Decay Functions ()x J' =! A population of POPULATION function that models the populatic MULTIPLE CHOICE What is the d Write and Graph Exponential Decay Functions Title: Chpt 08 Exponents and Exponential mi-centre.com Determine whether an exponential function and its associated graph represents growth or decay.

Sketch a graph of an exponential function. Graph exponential functions shifted horizontally or vertically and write the associated equation. Download "Write and Graph Exponential Decay Functions" 1 Write and Graph Eponential Deca Functions Before You wrote and graphed eponential growth functions.

Now You will write and graph eponential deca functions. Wh? So ou can use a graph to solve a sports problem, as in E.

Ke Vocabular eponential deca A table of values. of Equation & Graph of Exponential Decay Function Property #1) rate of decay starts great and decreases (Read on, to learn more about this property, which is the primary focus of this web page) Property #2) The domain is Answer.

8.6 write and graph exponential decay functions
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