Chapter 7 Summative #2 PREVIEW

Match each graph to its description.

• Linear Increase

• 
• Linear Decrease

• 
• Exponential Decay

• 
• Exponential Growth

• 

Match each formula to its description.

• Exponential Decay

• Linear Decrease

• Linear Increase

• Exponential Growth

Match each formula with its description.

• Linear Decrease

• Exponential Decay

• Linear Increase

• Exponential Growth

Match each equation below to its description.

• Exponential Decay

• Linear Increase

• Linear Decrease

• Exponential Growth

Match each equation below to its description.

• Exponential Decay

• Linear Increase

• Exponential Growth

• Linear Decrease

Answer explanation

f(x) = 5x - 1/2

This function results in LINEAR INCREASE

* mx + b, with x^1

* slope is (+) since m = 5

Answer explanation

3, 15, 75, 375, ...

ratio = 15/3 = 5

Start with 3, multiply by 5 "n-1" times to get to the "Nth Term"

Nth = 1st * ratio ^ (n-1)

f(n) = 3 * 5 ^ (n-1)

Answer explanation

9375, 1875, 375, 75, ...

ratio = 9375/1875 = 1/5

Start with 9375, multiply by 1/5 "n-1" times to get to the "Nth Term"

Nth = 1st * ratio ^ (n-1)

f(n) = 9375 * (1/5) ^ (n-1)

Answer explanation

3, 15, 27, 39, ...

difference = 15 - 3 = 12

Start with 3, add 12 "n-1" times to get to the "Nth Term"

Nth = 1st + difference*(n-1)

f(n) = 3 + 12(n-1)

Answer explanation

15, 3, -9, -21, ...

difference = 3 - 15 = -12

Start with 3, subtract 12 "n-1" times to get to the "Nth Term"

Nth = 1st - difference*(n-1)

f(n) = 3 - 12(n-1)

The EXPLICIT FORMULA for a sequence of terms where the pattern of change involves REPEATED MULTIPLICATION is --