Suppose that m and n are positive integers with m > n and f is a function from {1,2 ….m} to {1,2 ….n}.Use mathematical induction on the variable 11 to show- that f is not one-to-one.

1.5 - Function Arithmetic Friday, September 1, 27:24 PM Objectives: ◊ solve application problems, including economic functions: price-demand, revenue, cost, and profit ◊ perform arithmetic on functions ◊ find the domain of a function resulting from arithmetic operations ◊ find and simplify a difference quotient for a given Videos:n Reading: ◊ 1.5A - Function Arithmetic ◊ 1.5B - Difference Quotient ◊ Textbook section 1.5, pages 76-83 ◊ 1.5C - Economic Applications Sections Vocabulary and Terms Examples Equations Key Points ❖ Function Arithmetic Description