What are the relative maximum and minimum of
Use a graphing calculator to find a relative maximum and a relative minimum.
How is a relative maximum different from a maximum at the vertex of a parabola?
A relative maximum is the greatest y-value in the “neighborhood” of its x-value. The maximum at the vertex of a parabola is the greatest y-value for all x-values.
Relative maximum
Relative minimum
The relative maximum is 80 at
Technology The design of a digital box camera maximizes the volume while keeping the sum of the dimensions at 6 inches. If the length must be 1.5 times the height, what should each dimension be?
Step 1 Define a variable x.
Let
Step 2 Determine length and width.
Step 3 Model the volume.
What is the formula for the volume of a “box”?
Step 4 Graph the polynomial function. Use the MAXIMUM feature to find that the maximum volume is
The dimensions of the camera should be 2.4 in. long by 2 in. wide by 1.6 in. high.