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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. $$\left\{(x, y) : y=x^{2}\right\}$$

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

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University of Michigan - Ann Arbor

Lectures

01:32

In mathematics, the absolu…

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In $12-23,$ each set is a …

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01:36

In this test: Unless other…

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In $3-6,$ each set represe…

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Find the domain of the giv…

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and this question where first asked to find the domain of the function y equals X squared and this function X could be equal to any real number. So the domain is a set of all real numbers. Now we're asked to find if the function is onto If set A is equal to Set B, which also is equal to the domain or the sight of all real numbers the function is onto. If set B is equal to the range. So let's determine what the range of this function is. X squared is always positive or zero. So the range of this function is why is more than your equal to zero? This is not equal to the set B, and therefore this function is not on two.

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