A continuous, injective function f:R→R is either strictly increasing or strictly decreasing. I would like to prove the statement in the title. Proof: We prove that if f is not strictly decreasing, then it must be strictly increasing. Which function is always bijective? A function f: R → R isRead More →
Not all functions have inverse functions. Those that do are called invertible. For a function f: X → Y to have an inverse, it must have the property that for every y in Y, there is exactly one x in X such that f(x) = y. How do you proveRead More →
Many studies require the quantitative determination of bacterial populations. The two most widely used methods for determining bacterial numbers are the standard, or viable, plate count method and spectrophotometric (turbidimetric) analysis. Which of the following is a the technique of preservation? Among the oldest methods of preservation are drying, refrigeration,Read More →