Powerpoint Notes Presentation A.1E

Predictions and Conclusions in
Functional Relationships
A. 1E The student will interpret
and make decisions,
predictions, and critical
judgments from functional
ON your TAKS, you will be asked to
interpret and make predictions from
functional relationships.
A “functional” relationship may be a
graph or a table.
The following slides are examples of
TAKS questions.
Grade 11 TAKS 2003
Gina did a research project on how age
affects sleep patterns. She concluded
that as people age, they sleep fewer
hours until a point in adulthood when
the number of hours remains constant.
Gina also found that after the age of 70
the amount of time spent sleeping
increases slightly. Which graph best
shows the results of Gina’s research?
Grade 11 TAKS 2004
Karen jogs at a steady pace up a hill in her
neighborhood. She then runs down the hill, and
her speed increases. Which graph best
describes this situation?
The graph shows the number of gallons of gas used by
Maria’s car as a function of the number of miles driven.
About how many gallons of gas will Maria need for a 170 –
mile trip?
7 gal
8.5 gal
9.5 gal
11 gal
Drawing Conclusions from Functional
Understand the problem.
Identify the quantities involved and any
relationships between them.
Determine what the variables in the problem
For graphs: Determine what quantity each axis on
the graph represents.
For tables: Determine what quantity each column in
the table represents.
Look for trends in the data. Look for maximum and
minimum values in graphs.
Look for any unusual data.
Match the data to equations or formulas in the