Function or Not?
Parts of a Fuction
Comparing Functions
Linear vs Nonlinear
Graphs of Functions
100
Is the following a function?
No it is not a function. It doed not pass the vertical line test.
100
Jamie is selling candles and has graphed her supply below. How many candles did Jamie start off with initially?
Jamie started off with 100 candles. At time 0, she had 100.
100
Which function has a greater initial value?
Function A
Function B
y= = 3x - 3
Function A. Function A's initial value would be 20. Function B's initial value would be -3. 20>-3
100
Is the function linear or non-linear?
Linear
100
What words could be used to describe the following function?
Linear Increasing Function.
200
Is the following a function?
{(3, 5) (5, 8) (2, 7) (3, 4)}
No, it is not a function. x-value of 3 is repeated. It would not pass the vertical line test.
200
Jamie is selling candles and has graphed her supply below. What rate shows Jamie's candle supply with respect to time?
Rate = -20. Down 20 over 1.
200
Allen is driving home at 45 mph. He is currently 160 miles from home. James is also driving home and his distance from home and time can be seen in the table below. Who is traveling at a faster rate?
James Driving Home
James. James is going 50mph, Allen is going 45mph.
200
Is the function Linear or Non-Linear?
6x^3-y=5
Nonlinear. The exponent makes the function non-linear.
200
What words could be used to describe the following function?
Non-linear function increasing slower and slower(increasing at a decreasing rate).
300
Is the equation y = x a function?
Yes, It would pass the vertical line test.
300
Andrew buys and sells Ninja Turtle toys. He currently has 33 and each week he sells 7 Ninja Turtles and buys 4 more. What is Andrew's rate of change for his Ninja Turtle supply?
His rate is -3 per week. Each week his supply would decrease by 3 (sell 7-->buy 4-->3 more sold then bought).
300
How many times bigger is the rate of Function A than the rate of Function B?
Function A
y=9/5x +12
Function B
1.2 times bigger. Function A has a rate of 9/5=1.8. Function B has a rate of 3/2=1.5.
1.8/1.5=1.2
300
Is the following function linear or non-linear?
Nonlinear. The slope is not the same anywhere.
300
Which section of the function has the slope that is the farthest from 0?
Section D. It is the steepest. The steeper the slope the farther from 0 it is.
400
Mark has the table below. If the inputs and outputs were switched (meaning the x values are now y and vice versa) would the relation be a function?
No it would not be a function. The new x-value of 13 has 2 different y-values 8 and 9.
400
James has 25 bananas and is picking 4 more bananas every 5 minutes. How many bananas is James picking per minute?
James is picking at a rate of 4/5=0.8 bananas every minute.
400
Allen is driving home at 45 mph. He is currently 160 miles from home. James is also driving home and his distance from home and time can be seen in the table below. Who is going to get home first?
James Driving Home
Allen. Allen's equation would be y=-45x + 160, James' equation would be y=-50x + 200. Each person gets home with y=0. This would take Allen 3.5 hours and James 4 hours.
400
A machine has 34,924 hershey kisses made and is making more at a rate of 1,322 every hour. Would the graph of this function be linear or nonlinear?
Linear. It is making kisses at a constant rate of 1,322 every hour.
400
Luke is digging up worms. Each hour he digs he comes up with half as many worms as the previous hour. Would this be a linear or non-linear function? Increasing or decreasing?
Non-linear. If he dug up the same number of worms each hour it would be linear. Increasing...His total worms are increasing each hour even though it is increasing by a smaller amount.
500
If the graph were rotated 90° counter-clockwise would the relation be a function?
Yes it would be a function.
500
On Monday, a dog groomer graphed the number of dogs they groomed as shown in the graph below. On Friday the number of pets groomed per hour was 3 times bigger than on Monday. What is the rate of dogs groomed on Friday?
40/hr. Originally they groomed 20 dogs every 1.5 hours...thats 13.33333 dogs per hour. Multiplied by 3 gives 40 dogs per hour.
500
Anthony is parking cars and the number of cars he's parked can be represented by the equation y=12x + 35 where x is the number of hours he is working and y is the total cars parked. Tyler is also parking cars and the number of cars he parked can be seen in the graph below. How many more cars would Anthony park in 4 hours than Tyler?
Anthony would have parked 3 more cars than Tyler. Using Anthony's equation y=12(4) + 35 = 83 cars parked. Tylers equation y=15(4) + 20 = 80.
500
The number of cookies each person gets vs. The number of friends you are sharing your cookies with.
Would this represent a linear or non-linear function?
Non-Linear. Each friend you add reduces the number of cookies everyone gets, but not by the same amount each time
Friends-->Cookies
0-->12
1-->6
2-->4
3-->3
500
Sarah is going to share her peanut butter eggs. She starts with 100 and the first day she give out one. Each day she doubles the number of eggs she gives out. Graph the function that would show the number of eggs that Sarah has left after x days.
The graph would be nonlinear decreasing faster and faster.
