{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

h2 - y 0 ≤ y ≤ 1 if exists where f-1 Y denotes an...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
[40] Homework 2. Language of Mathematics Each problem is worth 10 points [10] Prove A B = ¯ A ¯ B without using the de Morgan law and Venn’s diagrams. [10] What is the image of f ( R ), where R is the set of all reals: f ( x ) = x 4 f ( x ) = x 2 - 4 x f ( x ) = 2 x 2 f ( x ) = sin( x ) [10] Is f ( x ) = x 2 + 1 a bijection of R R ? Compute also f - 1 ( { y : 0 y 1 } ), if exists, where
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: ( { y : 0 ≤ y ≤ 1 } ), if exists, where f-1 ( Y ) denotes an inverse image, that is, the set of all x such that f ( x ) ∈ Y . [10] What are the values of the following: 99 s i =5 5 · 2 i-4 , 100 s j =3 (2 j +1-2 j ) , 100 p k =1 (-1) k . 1...
View Full Document

{[ snackBarMessage ]}