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In $12-23,$ each set is a function from set $A$ to set $B .$ a. What is the largest subset of the real numbers that can be set $A$ , the domain of the given function? b. If set $A=\operatorname{set} B,$ is the function onto? Justify your answer. $$\{(x, y) : y=5-x\}$$

a) $\mathbb{R}$b) not onto

Algebra

Chapter 4

RELATIONS AND FUNCTIONS

Section 1

Relations and Functions

An Introduction to Geometry

Functions

Linear Functions

Polynomials

Missouri State University

Harvey Mudd College

Idaho State University

Lectures

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In mathematics, the absolu…

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In $12-23,$ each set is a …

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In $3-6,$ each set represe…

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In this test: Unless other…

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this problem First assets to find the domain of the function. Why equal to one over X in order for why to be defined than X cannot be goal to zero. So this Khuzestan Amane of all real numbers except zero Now we're asked to find it's a function is onto given upset. A wishes remain is equal to set B. The function is onto a set. B is equal to the range. So let's determine the range of this function. As X goes to infinity, Why goes to zero but doesn't reach it, so why can never be equal to zero? As we can see, the range is equal to set A which is equal to set B. Therefore, this function is on two.

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