Minimum and Maximum of a Graph

You can learn to graph as well as a calculator using calculus. The lesson introduces using derivatives to find critical points needed to graph polynomials. Pupils learn to find local maximums and minimums and intervals of increase...

Do not always be maxed out by the vertex. A short video introduces the graphical display of the vertex and zeros of a quadratic function. The presenter provides the definitions of the minimum and maximum of the graph along with...

Take a look in the window. Pupils watch a presentation to discover how to graph a polynomial using a graphing calculator and using the window to find the extrema. Scholars use their knowledge from previous lessons to gain a rough idea of...

In this optimization worksheet, learners solve 20 short answer word problems. Students read, sketch, define variables, write equations, differentiate their equations, and find the maximum or minimum of each word problem.

So, exactly, what does it look like? The easily usable graphing calculator allows pupils to visualize the graph of equations and inequalities. The interactive supports any algebraic graph needed for high school mathematics and then some.

What is the highest point of an upside-down parabola called? It's called the maximum of a quadratic function, also known as, the vertex.

What is the lowest point of a 'U' shaped parabola called? It's called the minimum of a quadratic function, also known as, the vertex.

What is the highest point of an upside down parabola called? It's called the maximum of a quadratic function, also known as, the vertex.

What is the lowest point of a 'U' shaped parabola called? It's called the minimum of a quadratic function, also known as, the vertex.

The following problems are maximum/minimum optimization problems. They illustrate one of the most important applications of the first derivative.