Refresh Your Memory
Linear Functions
Exponential Functions
Quadratic Functions
100
The Function notation for a linear function.
What is f(x)=mx+b
100
What are the difference possibilities for how the graph of a linear function will appear?
What is a positive slope and negative slope, a straight line going vertically or horizontally.
100
How does an exponential function's graph look?
What is a positive or negative curve. Cannot touch 0 on the x-axis.
100
How does a quadratic function graph look?
What is a parabola opening upward or downward.
200
The function notation for an exponential function.
What is f(x)=a(b^x)
200
Kayla has an internet service that currently has a monthly access fee of $10.75, and a connection fee of $0.50 per hour. Write a function to represent this situation.
What is f(x)=10.75+0.50x
200
James has $90 in a savings account. The interest rate is 10%, compounded annually. To the nearest cent, how much money will he have in his account in 3 years?
What is $119.79.
200
A man drops a key from the top of a cliff that is 306 feet tall. What is the height of the key 4 seconds after it was dropped? Use the vertical motion model h =-16t^2+306 where t is the time in seconds, and h is the height in feet.
What is 50 feet.
300
The function notation for a quadratic function.
What is f(x)=ax+bx+c
300
Nick is given $100 to spend on summer vacation. He decides to spend $20 per day. Write a function to express this scenario. Then figure out how much money he will have on the 4th day.
What is $20.
300
In 1985, there were 285 cell phone subscribers in the small town of Centerville. The number of subscribers increased by 75% per year after 1985. How many cell phone subscribers were in Centerville in 1994? Round to the nearest whole number.
What is 43,872 cell phone subscribers.
300
A rock is thrown from the top of a tall building. The distance, in feet, between the rock and the ground t seconds after it is thrown is given by d(t)=-16t^2 – 4t + 382. How long after the rock is thrown is it 370 feet from the ground?
What is 0.75 seconds.
400
What is the value of f(x) when x=5 for the function f(x)=3x^2+2x+1?
What is 86.
400
Julio weighs 130 pounds and plans to go on a diet to lose weight. If he correctly observes the diet, he will lose 5 pounds per week. He wants to lose weight until he reaches a weight of 100 pounds. So, how many weeks will it take Julio to reach his desired weight?
What is 6 weeks.
400
You have inherited land that was purchased for $30,000 in 1960. The value of the land increased by approximately 5% per year. What is the approximate value of the land in the year 2011?
What is $361,223.09
400
Jason jumped off of a cliff into the ocean in Acapulco while vacationing with some friends. His height as a function of time could be modeled by the function h(t)=-16^2+16t+480, where t is the time in seconds and h is the height in feet. After how many seconds did Jason hit the water?
What is 6 seconds.
500
What is the value of x when x= 2 for the function f(x)=5(0.1^x)
What is 0.05
500
Carolina is mowing lawns for a summer job. For every lawn she mows, she charges an initial fee of $3 plus $2 for every hour she works. Write a function for this scenario.
What is f(x)=3+2x
500
Ted have a new disease in which harmful bacteria multiplies at an alarming rate in his body. The doctor said that at the beginning of the day there were only 3 bacteria cells in his body and that it will double every hour. How much bacteria will Ted have in him by the end of the day? Use an exponential function to solve. Also, the doctor said to see him if there are 50,331, 649 bacteria cells or more in his body by the end of the day. Should he see the doctor?
What is 50,331,648 bacteria cells. No he should not see the doctor but will really need to very soon.
500
A ball is shot from a cannon into the air with an upward velocity of 40 ft/sec. The function that gives the height (h) of the ball at any time (t) is: h(t)= -16t^2 + 40ft + 1.5. Using this function, identify when the ball will hit the ground.
What is 2.54 seconds.
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