IM 8.5.7 Practice: Connecting Representations of Functions
The equation and the tables represent two different functions. Use the equation and the table to answer the questions. This table represents as a function of .
When is -3, is or greater?
When is 21, what is the value of ?
What is the value of that goes with this value of ?
When is 6, is or greater?
For what values of do we know that is greater than ?
Elena and Lin are training for a race. Elena runs her mile at a constant speed of 7.5 miles per hour.
Lin’s total distances are recorded every minute:
Who finished their mile first?
This is a graph of Lin’s progress. Draw a graph to represent Elena’s mile on the same axes.
For these models, is distance a function of time? Is time a function of distance? Explain how you know.
Match each function rule with the value that could not be a possible input for that function.
3 divided by the input
Add 4 to the input, then divide this value into 3
Subtract 3 from the input, then divide this value into 1
Find a value of that makes the equation true. Explain your reasoning, and check that your answer is correct.