• Why do we need to know how to write numbers in words?

Math 80

• What is 0⁰? Do we even need that? Why or why not?
• Give example of a situation where we can use ONLY Heron's formula to calculate the area of a triangle.

• Why is the metric system base 10? I.e. why 10 & not some other number?
• If there are only 2 possible outcomes are the probabilities of those outcomes always 50/50?

• Find a function whose graph symmetrical about the x-axis.
• Why are odd functions called odd & even ones called even?
• What is the function that is both odd & even?
• Does an odd function remains odd if we (i) stretch / shrink or (ii) reflect or (iii) shift - horizontally or vertically?
• Same question about even functions.
• What's the y-intercept of an odd function?
• Give examples of functions such that f(x) = f^--1(x). What's special about these functions graphically?
• Which polynomials have end behavior where at least one end doesn't go to ± ∞?
• Is it possible to have an odd degree polynomial with no zero? Why or why not?
• Graphically what is the difference (if any) between y = (x² - x) / (x - 1) & y = x?

• Why do mathematician prefer radian over degree when measuring angles?
• What is the difference (if any) between the domains of tan^-1 x & sin^-1 x?
• Give example of a situation where we can use ONLY Heron's formula to calculate the area of a triangle.