Alg2 Unit 1 Review

Which type of function best represents the scenario? 

You want to determine how quickly messages can spread on a social media website. On the first day, you create a message that is shared with 2 people. On the second day, each of those people share it with 3 people. On third day, everyone who received the message shares it with 3 more people, and so on. 

• Linear

• Quadratic

• Exponential

Which type of function best represents the scenario? 

A lacrosse player throws a ball upward from an initial height of 7 feet with an initial velocity of 70 feet per second. Another player catches the ball when it is 2 feet above the ground.  

• Linear

• Quadratic

• Exponential

Which type of function best represents the scenario? 

Your local library holds a penny drive in which people in the community are asked to donate their spare pennies to the library. When you stop by to donate some pennies, you hear someone announce that she plans to donate pennies for one month in the following manner: she will donate 1 penny today, 2 pennies tomorrow, 4 pennies the next day, and will continue to double the number of pennies that she donates each day thereafter.

• Linear

• Quadratic

• Exponential

Which type of function best represents the scenario? 

Kieran has an air–conditioning unit installed in one window of his house. Droplets of water fall at regular intervals from the air conditioner onto the patio outside the house, forming a small, circular puddle. As water continues to drip from the air conditioner, the circular puddle increases in area. Kieran tries to calculate the puddle’s area, and observes that the puddle’s radius increases by 1 centimeter every minute.

• Linear

• Quadratic

• Exponential

Which type of function best represents the scenario? 

Jevon is on vacation in New York City and wants to use a ride–sharing service. One particular ride–sharing service charges a flat fee of $2.50 and an additional charge of $0.35 per mile.

• Linear

• Quadratic

• Exponential

Match each scenario with the most appropriate function

• Quadratic

• Population Increase

• Linear

• Number of Items Bought

• Exponential Decay

• Value Depreciation

• Exponential Growth

• Gravity

A common difference has a (a)   rate of change, a 2nd common difference has a (b)   rate of change, and a common ratio has a (c)   rate of change. Assuming that the x values have a common first difference, y-values that have a common difference is linear, y-values that have a 2nd common difference is (d)   , and y-values that have a common ratio is ​ (e)   .

• constant
• linear
• multiplicative
• quadratic
• exponential

Which best describes the scatterplot?

• Quadratic

• Linear Decreasing

• Linear Increasing

• Exponential Growth

• Exponential Decay

Find the linear regression equation for this table.

• y = 14.9x - 10.3

• y = -10.3x + 14.9

• y = 10x + 1

• y = x + 10

Find the exponential regression equation for this table.

• y = 1.61(6.6)^x

• y = 6.6(1.61)^x

• y = 5(2)^x

• y = 2(5)^x