This word is used to describe the set of all inputs for a function.
What is the domain or x-coordinates?
Is the following relation a function: (1, 0), (2, 2), (3, 4)?
Yes
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.
What is another word for rate of change
Slope, M, Unit rate
This word is used to describe the set of all outputs of a function.
What is the range or y-coordinates?
Is the following relation a function: (1, 1), (4, 1), (5, 2), (1, 2), (2, 5)?
No
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).
Find the average rate of change: you drive 200 miles in 4 hours.
50 mph
This word describes a relation that pairs each x value with only one y value.
What is a function?
Is the following relation a function:
((x),(1),(2),(1))((y),(1),(2),(2))
No.
True or False: a relationship that has square, cube, or x in the denominator are all examples of a non-linear function
True.
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.
This term identifies the quantity that is not dependent on the other in a function.
What is an independent variable?
Is this graph a function?
No
Draw a graph that represents the following information: Jeremy ran out of the house, tripped and fell on the ground.
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
This term identifies the quantity that is dependent on the other in a function.
What is the dependent variable?
Is this graph a function?
Yes
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.
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