AA3-1 Investigation -- exponential growth and decay cloned 1/19/2021

Last updated over 4 years ago

19 questions

AA3-1 Investigation -- exponential growth and decay cloned 1/19/2021

Last updated over 4 years ago

19 questions

Describe what is happening to f(x) as x increases:

Write an equation for f(x)

Describe what is happening to f(x) as x increases:

Write an equation for f(x)

Describe what is happening to f(x) as x increases:

Write the equation of f(x), if possible

Describe what is happening to f(x) as x increases:

Write the equation of f(x), if possible.

You were likely unable to write the equation for the last two tables.  They are exponential functions.  In AA3-3, we will study graphing exponential functions in the form:  
However, for now, we will write exponential functions centered at the origin so (h,k) is (0,0).  As a result, we will write exponential functions in the form: 
                                    -- a is the starting value  (f(0))
                                    -- b is the rate of growth or decay (what we are multiplying by each time)
                                    -- x is the number of times something occurs.  It is often, but not always, an amount of time.  

Because f(x) increases as x increases, this function is a model of exponential growth.
Write the exponential equation for this table:

Because f(x) decreases as x increases, this function is a model of exponential decay.
Write the exponential equation for this table:

Complete the table for f(x)=4(3)x by evaluating f(0), f(1), f(2), and f(3).
Don't forget (anything)0 = 1.
Depending on the calculator, you use the ^ button or ab or xy to create an exponent.

We have released a new and improved Graphing question type! Students will no longer be able to answer this question.

Is f(x) = 4(3)x a model for exponential growth or decay?

Complete the table for f(x)=4(0.75)x by evaluating f(0), f(1), f(2), and f(3).
Don't forget (anything)0 = 1.
Depending on the calculator, you use the ^ button or ab or xy to create an exponent.

We have released a new and improved Graphing question type! Students will no longer be able to answer this question.

Is f(x) = 4(0.75)x a model for exponential growth or decay?

Predict whether f(x) = 1/2 (5)x is a model for exponential growth or decay?

Complete the table for f(x)= 1/2 (5)x by evaluating f(0), f(1), f(2), and f(3).
Don't forget (anything)0 = 1.
Depending on the calculator, you use the ^ button or ab or xy to create an exponent.

We have released a new and improved Graphing question type! Students will no longer be able to answer this question.

Is f(x) = 1/2 (5)x is a model for exponential growth or decay?

How do you know if an exponential function will model growth or decay?

Draggable item		Corresponding Item

Draggable item		Corresponding Item
decay		f(x)=8(1.7)x
growth		f(x)=8(0.7)x
decay		f(x)=8(1/4)x
neither		f(x)=1/4(8)x
neither		f(x)=8(0)x
growth		f(x)=8(1)x
growth		f(x)=1(8)x

AA3-1 Investigation -- exponential growth and decay cloned 1/19/2021

AA3-1 Investigation -- exponential growth and decay cloned 1/19/2021

Describe what is happening to f(x) as x increases:

Write an equation for f(x)

Describe what is happening to f(x) as x increases:

Write an equation for f(x)

Describe what is happening to f(x) as x increases:

Write the equation of f(x), if possible

Describe what is happening to f(x) as x increases:

Write the equation of f(x), if possible.

Because f(x) increases as x increases, this function is a model of exponential growth.Write the exponential equation for this table:

Because f(x) decreases as x increases, this function is a model of exponential decay.Write the exponential equation for this table:

Complete the table for f(x)=4(3)x by evaluating f(0), f(1), f(2), and f(3). Don't forget (anything)0 = 1.Depending on the calculator, you use the ^ button or ab or xy to create an exponent.

Is f(x) = 4(3)x a model for exponential growth or decay?

Complete the table for f(x)=4(0.75)x by evaluating f(0), f(1), f(2), and f(3). Don't forget (anything)0 = 1. Depending on the calculator, you use the ^ button or ab or xy to create an exponent.

Is f(x) = 4(0.75)x a model for exponential growth or decay?

Predict whether f(x) = 1/2 (5)x is a model for exponential growth or decay?

Complete the table for f(x)= 1/2 (5)x by evaluating f(0), f(1), f(2), and f(3). Don't forget (anything)0 = 1. Depending on the calculator, you use the ^ button or ab or xy to create an exponent.

Is f(x) = 1/2 (5)x is a model for exponential growth or decay?

How do you know if an exponential function will model growth or decay?

Describe what is happening to f(x) as x increases:

Write an equation for f(x)

Describe what is happening to f(x) as x increases:

Write an equation for f(x)

Describe what is happening to f(x) as x increases:

Write the equation of f(x), if possible

Describe what is happening to f(x) as x increases:

Write the equation of f(x), if possible.

Because f(x) increases as x increases, this function is a model of exponential growth.Write the exponential equation for this table:

Because f(x) decreases as x increases, this function is a model of exponential decay.Write the exponential equation for this table:

Complete the table for f(x)=4(3)x by evaluating f(0), f(1), f(2), and f(3). Don't forget (anything)0 = 1.Depending on the calculator, you use the ^ button or ab or xy to create an exponent.

Is f(x) = 4(3)x a model for exponential growth or decay?

Complete the table for f(x)=4(0.75)x by evaluating f(0), f(1), f(2), and f(3). Don't forget (anything)0 = 1. Depending on the calculator, you use the ^ button or ab or xy to create an exponent.

Is f(x) = 4(0.75)x a model for exponential growth or decay?

Predict whether f(x) = 1/2 (5)x is a model for exponential growth or decay?

Complete the table for f(x)= 1/2 (5)x by evaluating f(0), f(1), f(2), and f(3). Don't forget (anything)0 = 1. Depending on the calculator, you use the ^ button or ab or xy to create an exponent.

Is f(x) = 1/2 (5)x is a model for exponential growth or decay?

How do you know if an exponential function will model growth or decay?

Match each exponential function:

Because f(x) increases as x increases, this function is a model of exponential growth.
Write the exponential equation for this table:

Because f(x) decreases as x increases, this function is a model of exponential decay.
Write the exponential equation for this table:

Complete the table for f(x)=4(3)x by evaluating f(0), f(1), f(2), and f(3).
Don't forget (anything)0 = 1.
Depending on the calculator, you use the ^ button or ab or xy to create an exponent.

Complete the table for f(x)=4(0.75)x by evaluating f(0), f(1), f(2), and f(3).
Don't forget (anything)0 = 1.
Depending on the calculator, you use the ^ button or ab or xy to create an exponent.

Complete the table for f(x)= 1/2 (5)x by evaluating f(0), f(1), f(2), and f(3).
Don't forget (anything)0 = 1.
Depending on the calculator, you use the ^ button or ab or xy to create an exponent.

Because f(x) increases as x increases, this function is a model of exponential growth.
Write the exponential equation for this table:

Because f(x) decreases as x increases, this function is a model of exponential decay.
Write the exponential equation for this table:

Complete the table for f(x)=4(3)x by evaluating f(0), f(1), f(2), and f(3).
Don't forget (anything)0 = 1.
Depending on the calculator, you use the ^ button or ab or xy to create an exponent.

Complete the table for f(x)=4(0.75)x by evaluating f(0), f(1), f(2), and f(3).
Don't forget (anything)0 = 1.
Depending on the calculator, you use the ^ button or ab or xy to create an exponent.

Complete the table for f(x)= 1/2 (5)x by evaluating f(0), f(1), f(2), and f(3).
Don't forget (anything)0 = 1.
Depending on the calculator, you use the ^ button or ab or xy to create an exponent.