horizontal line test
Not what you're looking for?
Consider the following function f: R R defined by f(x) = x3 - 8 .
(a) Note the contrapositive of the definition of one-to-one function given on page 136 of the text is: if a b then f(a) f(b). As we know, the contrapositive is equivalent to, (another way of saying) the definition of one-to-one. Use the contrapositive to explain (no proof necessary) that f is a one-to-one function.
(b) Find f -1. Use the definition of f -1 (definition 9 page 139 of the text) to explain why your solution works.
(c) Compute f f.
Purchase this Solution
Solution Summary
A horizontal line test is applied.
Purchase this Solution
Free BrainMass Quizzes
Probability Quiz
Some questions on probability
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.
Solving quadratic inequalities
This quiz test you on how well you are familiar with solving quadratic inequalities.
Know Your Linear Equations
Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.