Explain why g is not onto ℤ and give one integer that g cannot output
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 | 1 | initial version |
The function f: ℝ → ℝ defined by f(x) = 7x is onto because for any real number r, we have that r/7 is a real number and f(r/7) = r. Consider the same function defined on the integers g: ℤ → ℤ by g(n) = 7n.
| | 2 | retagged |
The function f: ℝ → ℝ defined by f(x) = 7x is onto because for any real number r, we have that r/7 is a real number and f(r/7) = r. Consider the same function defined on the integers g: ℤ → ℤ by g(n) = 7n.
Explain why g is not onto ℤ and give one integer that g cannot output
