Interpreting graphs word problems

The  exercise appears under the Algebra II Math Mission. This exercise concentrates on properties of graphs in numerical and graphical forms.

Types of Problems
There are two types of problems in this exercise:


 * 1) Use the graph to answer the question: This problem provides a word problem and the graph of a function. The student is asked to select the option that is correct about the function and answers the question.Ifof2.png
 * 2) Use the T-table to answer the question: This problem provides a word problem and a set of inputs and outputs for a function. The student is asked to select the option that is correct about the function and answers the question.Ifof1.png

Strategies
Knowledge of functional properties, terms and vocabulary are encouraged to ensure success on this exercise.
 * 1) Minimums and maximums are where the "bottom of the valley" or the "top of the hill" occurs.
 * 2) The period of a function is how long it takes until it begins to repeat.
 * 3) The end behavior of a graph are the limits as x approaches positive and negative infinity. The information on this exercise is always given in the positive direction first.
 * 4) An even function has the property f(-x)=x and has reflection symmetry over the y-axis. An odd function has the property f(-x)=-f(x) and has rotation symmetry about the origin.
 * 5) The x-intercepts occur when y=0 and the y-intercepts occur when x=0.
 * 6) Read the question carefully because sometimes more than one selection will be correct about the function but only one will be correct about the question that is being asked.

Real-life Applications

 * 1) Calculus describes how function change and experience with analysis of graphs will increase ability in calculus.
 * 2) The problems in this exercise use real-life context situations as their basis.