Vocabulary
Is it a Function?
Interpreting Graphs
Rate of Change
Patterns
100
This word is used to describe the set of all inputs for a function.
What is the domain or x-coordinates?
100
Is the following relation a function: (1, 0), (2, 2), (3, 4)?
Yes
100
Does this graph match a kid's speed (x) and distance from home (y) as they walk to school?
No, but if if included them going home then the answer would be yes.
100
List all the Names for Rate of Change.
Slope, M, Unit rate,
((Delta y)/ (Delta x))
100
Find the equation for the following sequence: 4, 7, 10, 13, ...
y = 3x + 1
200
This word is used to describe the set of all outputs of a function.
What is the range or y-coordinates?
200
Is the following relation a function: (1, 1), (4, 1), (5, 2), (1, 2), (2, 5)?
No
200
Does this graph show the relationship between time (y) and height (x) of a kid's rocket being shot into the air?
No, it could have been if time was (x) and height was (y).
200
Find the average rate of change: you drive 200 miles in 4 hours.
50 mph
200
Find the equation for the following sequence: 6, 12, 18, 24, 30, ...
y = 6x
300
This word describes a relation that pairs each x value with only one y value.
What is a function?
300
Is the following relation a function:
((x),(1),(2),(1))((y),(1),(2),(2))
No.
300
True or False: A discrete graph is made up of disconnected points.
True.
300
If you are measuring change in temperature as a function of time, what would a negative rate of change represent?
The temperature is decreasing as time goes on.
300
Find the equation for the following sequence: 2, 4, 6, 8, 10, ...
y = 2x
400
This term identifies the quantity that is not dependent on the other in a function.
What is an independent variable?
400
Is this graph a function?
No
400
Draw a graph that represents the following information: Jeremy ran out of the house, tripped and fell on the ground.
400
Which average rate of change is faster: Temperature rising 5 degrees in 4 hours or the temperature rising 4 degrees in 3 hours?
Temperature rising 4 degrees in 3 hours = 1.33 degrees/hour Temperature rising 5 degrees in 4 hours = 1.25 degrees/hour
400
Find the equation for the following sequence: 6, 11, 16, 21, 26, ...
y = 5x + 1
500
This term identifies the quantity that is dependent on the other in a function.
What is the dependent variable?
500
Is this graph a function?
Yes
500
Draw a graph that represents the following information: Mary the turtle crawled away from the swimming pool. Johnny picked Mary up and ran back to the pool but then Johnny's mom told him to let Mary go and Mary sat at the edge of the pool for a bit.
Answers will vary.
500
Bryan walks 10 feet away from the white board in 5 seconds, turns around and walks back to the board in 4 seconds. Which trip had a faster rate of change?
Walking back to the board
(10/4) = 2.5 feet per second
500
Find the equation for the following sequence: 4, 16, 64, ...
y = 4x