Function or Not?
Parts of a Fuction
Comparing Functions
Rate of change and initial value
Vocabulary
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
What variable does rate of change represent in this equation:
y=mx+b
What is m?
100
the x values of a function
What are the inputs?
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
Find the rate of change of this graph:
What is -1?
200
the y values of a function
What are the outputs?
300
You put in your dollar at the vending machine and click Reese's cups. Reese's cups comes out of the vending machine. Is this example a function? Why?
What is yes because the input has only one output?
300
Evaluate y=25 + 4x if x=5
His rate is -3 per week. Each week his supply would decrease by 3 (sell 7-->buy 4-->3 more sold then bought).
300
You put money into a drink machine and choose a drink, but no drink comes out. Is this an example of a function? Why?
What is no because in order to be a function every input must have only one output. In this example there is no output so it is not a function.
300
What is another way to say initial value?
What is beginning value or starting point?
300
relation in which every input has exactly one output
What is a function
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
Evaluate y=2x+1 if x=-2
What is -3?
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 5 hours.
400
What variable does the initial value represent in this equation:
y=mx+b
What is b?
400
A measurement of the change in variables over a specific period of time; a measure of output value changes in comparison to input value changes.
rate of change
500
You put dirty clothes in the washer and dirty clothes come out. Is this a function? why?
What is no because the input "washer" has two outputs, clean and dirty clothes.
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 graph of a linear relationship passes through (0, 2), (1, 5), and (3, 11) but not through (2, 7). What is the initial value?
What is 2?
500
A set of ordered pairs is called a?
Relation