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Let X=(1,2....6. )Suppose R is a relation from X to R given by: R={(x, y):x^2-3=y} a) Determine the domain of this relation. (b) Determine the

Let X=(1,2....6. )Suppose R is a relation from X to R given by: R={(x, y):x^2-3=y}

a) Determine the domain of this relation.

(b) Determine the range of this relation.

(c) Is R a function? Why or why not?

(d) Is R an injection? Why or why not?

(e) Is R a surjection? Why or why not?

(f) Is R^-1 a function? Why or why not?

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