Unit 3 Lesson 1 Jeopardy::

Remediation Activity 2

1. Choose a category by clicking one of the dollar amounts.

2. Read the “answer” and write your “question” on the worksheet.

3. Check your answer by clicking again on the screen.

4. Click on the button to go back to the category slide.

5. Choose another category.

6. Continue to play the game until all the squares on your worksheet have been completed.

7. Turn in your worksheet to your classroom teacher.

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Notes 1 Notes 2 Notes 3 Notes 4 Grab Bag

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True or False:The graph below represents an exponential function.

1 2 3 4 5–1–2–3–4–5 x

1

2

3

4

5

–1

–2

–3

–4

–5

y

What is false?

(This is a linear function because the graph is a line! The graphs of exponential functions are curves!)

True or False:

The equations of exponential functions look like y = a(b)x .

What is true?

True or False:

In the equation y = a(b)x , a is the base.

What is false?

(a is the initial value & b is the base)

True or False:The graph below represents y = 5(1/2)x .

What is true?

Find f(3) for the function f(x) = 4x .

What is 64?

(43 = 64)

Fill in the blank:

The graph below models __________________.

(a linear function, exponential growth, or exponential decay)

What is exponential growth?

Fill in the blank:

In tables of exponential functions, you ____________ to get from one row to the next.

(add, subtract, or multiply)

What is multiply?

Fill in the blank:

The table below represents _______________ .

(a linear function, exponential growth, or exponential decay)

What is exponential growth?

(1/4) x 4 = 1

1 x 4 = 4

4 x 4 = 16

Fill in the blank:

The table below represents _______________ .

(a linear function, exponential growth, or exponential decay)

What is exponential decay?

4 x (1/2) = 2

2 x (1/2) = 1

1 x (1/2) = 1/2

Fill in the blank:

The table below represents _______________ .

(a linear function, exponential growth, or exponential decay)

What is a linear function?

-3 + 3 = 0

0 + 3 = 3

3 + 3 = 6

True of False:

b is the base in the equation of an exponential function.

What is true?

True or False:

If 0 < b < 1, b is called the growth factor.

What is false?

(If 0 < b < 1, b is called the decay factor.)

Which function below displays exponential decay? Explain your answer.

y = 2x or y = (1/2)x

What is y = (1/2)x?

(b = ½ and 0 < ½ < 1, which means that the exponential function is decaying)

Which function below displays exponential growth? Explain your answer.

y = 3(1/4)x or y = 6(5)x

What is y = 6(5)x?

(b = 5 and 5 > 1, which means that the exponential function is growing)

A colony of ants grows at a very fast rate.The ant population doubles every day.You decide to chart the ant population.

When you begin, there are 50 ants.Write an equation to model this exponential function.

What is y = 50(2)x ?

(a = 50 & b = 2)

Fill in the blanks:

There are 2 ways to determine if a point is a solution to an exponential function:

1) We can look at the _______________ of the function.

2) We can ______________ (plug in) x and y in to the equation.

What is graph & substitute?

True of False:

(3, 10) is a solution to y = 5x

What is false?

(You get a false statement when you substitute (3, 10) into the equation.)

Fill in the blank:

Intersect means to _____________.

What is cross?

Where do the 2 functions below intersect?

y = 6(3)x and y = 6(1/3)x

What is (0, 6)?

Where do the 2 functions below intersect?

y = 8x and y = (5/6)x

What is (0, 1)?

Which equation below represents an exponential function?

A) y = mx + b

B) y = ax2 + bx + c

C) y = abx

What is C) y = abx ?

True or False:

The graph below represents exponential growth.

What is false?

(This function does not increase from left to right.)

Is (-3, 4) a solution to the exponential function graphed below?

What is no?

(The point is not on the graph.)

A radioactive bacteria decays by ½ every day.You start with 60 grams of bacteria.

Write an equation to model this exponential function.

What is y = 60(1/2)x?

(a = 60 and b = 1/2)

Where do the 2 functions below intersect?

y = 4(2)x and y = 4(2/3)x

What is (0, 4)?