Algebra Exponential Growth and Decay

Which of the following is true about the function: f(x) = .5(2)^x?

• The function shows exponential growth.

• The function shows exponential decay.

• The function is a linear function.

• The y intercept is 2.

Tags

CCSS.HSF-IF.C.8B

What is the explicit rule for the sequence:
11, 22, 44, 88...

• a_n = 2(11)^n-1
• a_n = 11x2
• a_n = 11(2)^n-1

Tags

CCSS.HSF.LE.A.2

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

• y=5000(0.7)^x
• y=30(5000)^x
• y=5000(1.3)^x
• y=5000x^x

Tags

CCSS.HSF.LE.A.2

What is the recursive equation that describes the sequence:

3, 15, 75...

• A_n = 12 ∙ A_n-1

• A_n = 1/5 ∙ A_n-1

• A_n = 5∙ A_n-1

• A_n = 3 ∙ A_n-1

Tags

CCSS.HSF.IF.A.3

Which ordered pair is a solution to the function y = -8(½)^x

• (–2, –30)

• (0, 0)

• (1, –3)

• (3, –1)

Tags

CCSS.HSF-IF.C.8B

f(x) = 2(3)^x

g(x) = 3x + 4

Which statement is true about the two functions when x = 3 ?

• The value of f(x) exceeds the value of g(x) by about 50.

• The value of g(x) exceeds the value of f(x) by about 50.

• The value of f(x) exceeds the value of g(x) by about 41.

• The value of g(x) exceeds the value of f(x) by about 41.

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

The attendance at the art museum at the New Year’s opening was 250 people. The attendance has been increasing at a rate of 3% each month. How many people will attend by the end of a year?

• 356
• 265
• 5825
• 1329

Tags

CCSS.HSF.BF.A.2

Given the following table, which has a greater rate of change over the interval [-1, 1]?

• f(x)
• g(x)
• Neither 
• Same 

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Find x when f(x) = 3^x and g(x) = 4, what is f(x) + g(x).

• 3^x + 4

• 4(3)^x

• 7^x

• 3^x - 4

Tags

CCSS.HSF-BF.A.1B

Is the table linear, exponential or neither?

• Linear
• Exponential
• Neither