Honors Algebra II - Mr. Loisel's Classroom



Honors Algebra II Name: __________________

Section 6.5 Exploration Date: ___________________

Graphing Square Root Hour: __________________

& Cube Root Functions

Directions: Please complete the following using a graphing calculator. If you do not posses a graphing calculator, please use one of the school issued Texas Instrument TI Nspire graphing calculators.

1. Graph [pic] for a = 2, [pic], -3, and -1. Use the graph of [pic] as a reference. Describe how the value of a affects the graph.

2. Graph [pic] for a = 2, [pic], -3, -1. Use the graph of [pic] as a reference. Describe how the value of a affects the graph.

3. Consider the general forms of the following radical functions displayed below:

[pic] and [pic]

How will the values of h and k affect the graph? Please investigate this using the technology available to you. Do not simply conjecture as to what the affect will be. Remember, you are an honor math student.

4. Drag racing is an acceleration contest over a distance of a quarter mile. For a given total weight, the speed of a car at the end of the race is a function of the car’s power. For a total weight of 3500 pounds, the speed s (mph) can be modeled by[pic]where p is the power (hp). Graph the model. Then determine the power of a car that reaches a speed of 100 mph.

5. A model for the period of a simple pendulum as measured in time units is given by [pic], where T is the time (s), L, is the length of the pendulum (ft), and g is 32 ft/sec2. Graph the model. Then use the graph to estimate the period of a pendulum that is 3 ft. long.

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