IM Alg2.3.8 Lesson: Cubes and Cube Roots
How are these graphs the same? How are they different?
Use the applet to zoom in and out on the graph.
How many solutions are there to each of the following equations?
Estimate the solution(s) from the graph of . Check your estimate by substituting it back into the equation.
Use the applet to zoom in and out on the graph.
Use the graph of to estimate the solution(s) to .
Use the meaning of cube roots to find an exact solution to the equation . How close was your estimate?
Find the solution of the equation using the meaning of cube roots. Use the graph to check that your solution is reasonable.
Here are a lot of equations:
Without solving, identify 3 equations that you think would be the least difficult to solve and 3 equations that you think would be the most difficult to solve. Be prepared to explain your reasoning.
Choose 4 equations and solve them. At least one should be from your “least difficult” list and at least one should be from your “most difficult” list.
All of these equations were equivalent to equations that could be written in the form for some constants and . Find a formula that would solve any such equation for in terms of and .