Math 124 Chapter 5 questions with verified answers rated A+

Math 124: Chapter 5 questions with
verified answers rated A+

Inverse Relations - correct answer ✔✔ i) For order pairs, (x, y) change to (y, x)

ii) For equations, y=f(x) change to x=f(y)



One-to-One functions - correct answer ✔✔ A function is this if different inputs (x) have different
outputs (y).

i.e. if, "a" does not = "b", then f(a) does not equal f(b)



Horizontal-Line Test - correct answer ✔✔ draw lines horizontally to see if the function is one-to-
one



One-to-One Function & Inverses - correct answer ✔✔ i) If a function, f, is 1-1 then its inverse is a
function. If f is not 1-1 then inverse of f does not exist.

ii) Dom(f)=x=Range(inverse f)

iii) Range(f)=y=Dom(inverse f)

iv) An increasing or decreasing function over its entire domain is a 1-1 function.



Finding f inverse - correct answer ✔✔ 1) Algebraic method

i) Replace f(x) with y

ii) find inverse relation

iii) solve for y

iv) replace y with f(x)



Finding f inverse (2nd method) - correct answer ✔✔ 2) Geometrical method