Geometric Sequences & Exponential Functions

Is this exponential growth or decay?

• Growth, the common ratio is between 0 and 1.

• Decay, the common ratio is between 0 and 1.

• Growth, the common ratio is greater than 1.

• Decay, the common ratio is greater than 1.

Tags

CCSS.HSF-IF.C.8B

Select the TRUE statements about the functions

 $f\left(x\right)\ =\ 2x-4$  
 $g\left(x\right)\ =\ 2^x\ -\ 4$  
 $h\left(x\right)=\left(\frac{1}{2}\right)^x\ -\ 4$  
 $k\left(x\right)\ =\ \frac{1}{2}x-4$  

•  $f\left(x\right)$  and  $k\left(x\right)$  are linear.

•  $g\left(x\right)$  is exponential growth. 

•  $h\left(x\right)$  is exponential decay.

•  $f\left(x\right)\ and\ g\left(x\right)$  are both exponential growth. 

•  $h\left(x\right)\ and\ k\left(x\right)$  are both exponential decay.

Is this exponential growth or decay?

• Growth
• Decay

Tags

CCSS.HSF-IF.C.8B

If a table's pattern is that the f(x) values are being divided by -3, what is the common ratio?

• 3

• -3

• $\frac{1}{3}$

• $-\frac{1}{3}$

Tags

CCSS.HSF.BF.A.2

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

• y = 15(35)^x
• y = 15(1.35)^x
• y = 15(0.35)^x
• y = 35(1.15)^x

Tags

CCSS.HSF.LE.A.2

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the exponential equation?

• y = 8(15,000)^x

• y = 15,000(1.08)^x

• y = 15,000(0.92)^x

• y = 15,000(0.08)^x

Tags

CCSS.HSF.LE.A.2

An adult takes 800 mg of ibuprofen. Each hour, the amount of ibuprofen in the person’s system decreases by about 29%.

Write an equation to represent the function. Then, use the function to find out how much ibuprofen is left after 6 hours?

• 101 mg

• 102 mg

• 103 mg

• 104 mg

Tags

CCSS.HSF-LE.A.1C

Daniel purchased a car for $35,000. Each year, his car depreciates at a rate of 5%.

Write a function, and use it to figure out how much will the car be worth in 8 years.

• $23,219.72

• $136.72

• $51,710.94

• $16,710.94

Tags

CCSS.HSF.BF.A.2

What is the percent of increase in this function?

f(x) = 300(1.16)^x?

• 16%

• 1.16%

• 300%

• 84%

Tags

CCSS.HSF-IF.C.8B

An antibiotic is introduced into a colony of 12,000 bacteria during a laboratory experiment. The colony is decreasing by 8% per minute.

Which decay rate would be used in the function?

• 1.92

• 1.08

• 0.08

• 0.92

Tags

CCSS.HSF.LE.A.2