All about those Exponents

A.9C

An exponential Function is Graphed on the grid. Which function is best represented by the graph?

• y = -4(1/2)^x

• y = 4(1/2)^x

• y = 4 - (1/2)^x

• y = 4(2)^x

• y = 1/2(4)^x

A.9D

Which graph best represents f(x) = 4(2/3)^x

• A

• B

• C

• D

A.9C

The table contains some points on the graph of an exponential function. Based on the table, which function represents the same relationship?

• y = 6(3)^x

• y = 1/6(3)^x

• y = 6 - (1/3)^x

• y = 6(1/3)^x

• y = 3(6)^x

A.9D

What is the value of y - intercept of f(x) = 17(1.2)^x? _______

A.11B

Which expression is equivalent to:

(x^-3)(x^3)^3 = x^p

what is the value of p?

• p = 6

• p = 3

• p = -3

• p = -6

A.9C

In March 2020, before the Covid-19 lockdown, 1200000 Texans had applied for unemployment. During Covid-19 lockdown, the number of people applying for unemployment increased by 4% each month. Which exponential function can be used to find the number of people applying for employment after x months of covid-19 lockdown?

• y = 1200000(1.04)^x

• y = 1200000(0.4)^x

• y = 1200000(1.4)^x

• y = 1200000(0.06)^x

• y = 4(1200000)^x

A.9D

A new cell-service provider is looking to expand its customer base. They began with 150 clients in West Dallas, and have seen an increase of 3.2% each month in customers. Which graph models the number of customers the company can expect to have after x months?

• F

• G

• H

• J

A.9C

Which of the following exponential functions represents an initial value of 1450 and a decay of 18% for x years?

• y = 1450(0.18)^x

• y = 1450(1.18)^x

• y = 1450 - (0.18)^x

• y = 1450(0.82)^x

• y = 0.82(1450)^x

A.11B

Which expression is equivalent to: (2x^2y^2)(3x^3y^3) ?

• 6x^6y^6

• 6x^5y^5

• 5x^6y^6

• 5x^5y^5

• 6x^2y^3

A.9D

Which statement about the graph of y = 10(1/2)^x is true?

• the graph crosses the y-axis at (0, 1/2)

• the graph increases from left to right

• the graph has a horizontal asymptote at y = 10

• the graph has a horizontal asymptote at y = 0