Unit 4, Lesson 8
Cubes and Cube Roots
Algebra 2
8.1
Warm-up
Comparing Two Graphs
How are these graphs the same? How are they different?
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How are these graphs the same? How are they different?
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.
Every number has exactly one cube root. You can see this by looking at the graph of
If
In an equation like
While cubing each side of an equation won’t create an equation with solutions that are different from the original equation, it is still a good idea to always check solutions in the original equation because little mistakes can creep in along the way.