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1. Let \(f = \{(x, y) | x, y \in \mathbb{N} \ \text{and} \ y = 2x\}\) be a relation on \(N\). Find the domain, co-domain, and range. Is this relationship a function?
 
Domain \(=\) i,i,i,i,...
 
Co-domain \(=\) i,i,i,i,...
 
Range \(=\) i,i,i,i,...
 
\(\mathbb{R}\) is .
 
 
2. Let \(X = \{3, 4, 6, 8\}\). Determine whether the relation \(\mathbb{R} = \{(x, f(x)) | x \in X, f(x) = x^2 + 1\}\) is a function from \(X\) to \(\mathbb{N}\)?
 
\(\mathbb{R}\) is .
 
 
3. Let \(f(x) = 2x + 5\). If \(x \ne 0\) then find \(\frac{f(x + 2) - f(2)}{x}\).
 
\(\frac{f(x + 2) - f(2)}{x}\) \(=\)