Match the formula of a radical function to its graph

The  exercise appears under the Algebra II Math Mission This exercise practices find the appropriate graph, given the formula of a square-root or a cube-root function.

Types of Problems
There is one type of problem in this exercise:


 * 1) Find which of the following is the graph of ___  = ___: This problem provides a graph of a square root or cube root function and students are expected to find the graph that is equivalent to the graph of the function.Match the formula of a radical function to its graph.PNG

Strategies
Knowledge of evaluating functions would help to ensure success on this exercise.
 * 1) Since function x can be built from function y, the graph of function x is a transformation of the graph of function y.

Real-life Applications

 * 1) Money as a function of time. One never has more than one amount of money at any time because they can always add everything to give one total amount. By understanding how their money changes over time, they can plan to spend their money sensibly. Businesses find it very useful to plot the graph of their money over time so that they can see when they are spending too much.
 * 2) Temperature as a function of various factors. Temperature is a very complicated function because it has so many inputs, including: the time of day, the season, the amount of clouds in the sky, the strength of the wind, and many more. But the important thing is that there is only one temperature output when they measure it in a specific place.
 * 3) Location as a function of time. One can never be in two places at the same time. If they were to plot the graphs of where two people are as a function of time, the place where the lines cross means that the two people meet each other at that time. This idea is used in logistics, an area of mathematics that tries to plan where people and items are for businesses.