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Solve the problem(s) stated below and attach any graph paper graphs or diagrams. Turn this in to your teacher for class interest. If you wish to email your work to the address below - please use your initials in place of your name. You will probably not get a return response other than a smile. For helpful suggestions link here. For resource equations or formulas related to the St. Louis Science Center Planetarium click here:

Problem: ( Print this page to work and turn in. )

PLANETARIUM HYPERBOLA:

x²/930.25 - y²/237.16 = 1

FOR: -85 ≤ x ≤ -30.5 or 30.5 ≤ x ≤ 85 and -40 ≤ y ≤ 14.5

This Equation for the Planetarium Hyperbola is not in a function notation.
To split this Hyperbola into branches which are functions gives:

and

for two of its branches on the right side of (0, 0).

What are the other two functions for the left side?

For each of the four functions list the domain and range.

HYPERBOLOID OF ONE SHEET:

A rotation of the Planetarium Hyperbola, both right branches above, around the y-axis will give the surface shape of the Planetarium. This surface is called a hyperboloid of one sheet.

St. Louis Science Center Planetarium Mathematics I. or II.

Function Representations

Name ____________________ Date __________

Problem: ( Print this page to work and turn in. )

PLANETARIUM HYPERBOLA:

HYPERBOLOID OF ONE SHEET:

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