Unit 5 Exponential Functions Practice Test

For each input/output pair below, determine whether it satisfies Function f, Function g, Both functions, or Neither function. Choose one option for each blank section.

Input: 0 Output: 3

• Function f

• Function g

• Both functions

• Neither function

For each input/output pair below, determine whether it satisfies Function f, Function g, Both functions, or Neither function. Choose one option for each blank section. Input: 1 Output: 6

• Function f

• Function g

• Both functions

• Neither function

For each input/output pair below, determine whether it satisfies Function f, Function g, Both functions, or Neither function. Choose one option for each blank section. Input: 2 Output: 10

• Function f

• Function g

• Both functions

• Neither function

For each exponential function, indicate whether the graph will be increasing or decreasing.

• decreasing

• increasing

Which graph represents the function f(x) = 2(5)^x?

Which number pattern is a function that can be described by an exponential equation with a common factor of 4? Select THREE answers that are correct.

• 1, 4, 16, 64, 256, ...

• 0.05, 0.2, 0.8, 3.2, 12.8...

• f(n) = 6^(4n), where n=1, 2, 3, ...

• -5, -1, 3, 7, 11, ...

• 0, 4, 8, 12, 16, ...

A herd of 175 buffalo were crossing the plains. Every day, the amount of buffalo in the herd increased by an average of 3%. The amount of buffalo, b, can be represented by an exponential function, where d represents the number of days since the 175 buffalo started. What is the equation of this exponential function?

• b = 1.03(175)^d

• b = 0.03(175)^d

• b = 175(1.03)^d

• b = 175(0.03)^d

A state conservation agency reports that there are currently 3,000 deer in a forest. The agency also reports that the deer population is increasing by 10% each year. Write an equation that models the deer population after x years. Do not use commas or extra spaces, use ^ for exponents (ex. x^2=x*x):

Mathematical Equivalence

ON

John purchased a car for $25,000. The car is expected to depreciate (lose value) at a rate of 15% per year. The expression 25000(0.85)^t represents the value of his car after t years. John wants to calculate the value of his car in months instead of years, using the expression a(b)^t/12. What are the values of a and b that will allow John to calculate the approximate equivalent value of his car after t years? Use the drop-down menus to choose the response that makes each statement true.

(a)   ​ (b)  

• New a = 25000
• new b = 0.9865
• new a = 2083.33
• new b = 0.0708
• new b = 0.1422

Sarah bought a laptop for $1,200. The laptop depreciates at a rate of 20% per year. The expression 1200(0.80)^t represents the value of her laptop after t years. Sarah wants to calculate the value of her laptop in months instead of years, using the expression a(b)^t/12. What are the values of a and b that will allow Sarah to calculate the approximate equivalent value of her laptop after t years? Use the drop-down menus to choose the response that makes each statement true.

(a)   ​ (b)  

• new a = 1200
• new b = 0.0667
• new a = 100

• new b = 0.9815
• new b = 0.833
• new b = 0.0687