Question

List the members of the range of the function h: x — 5 - 2x? with domain D = {- 2, - 1, 0, 1}.

Alternate coordinate systems
ANSWERED
asked 2021-02-11

List the members of the range of the function h: \(x - 5 - 2x\)? with domain \(D = {- 2, - 1, 0, 1}\).

Answers (1)

2021-02-12

Using the elements of the domain, we evaluate the function.
When \(x=−2\), \(\displaystyle{5}−{2}{\left(−{2}\right)}^{{2}}={5}−{2}{\left({4}\right)}={5}−{8}=−{3}\)
When \(x=−1\), \(\displaystyle{5}−{2}{\left(−{1}\right)}^{{2}}={5}−{2}{\left({1}\right)}={5}−{2}={3}\)
When \(x=0\), \(\displaystyle{5}−{2}{\left({0}\right)}^{{2}}={5}−{2}{\left({0}\right)}={5}−{0}={5}\)
When \(x=1\), \(\displaystyle{5}−{2}{\left({1}\right)}^{{2}}={5}−{2}{\left({1}\right)}={5}−{2}={3}\)
So, the range is: \(R={−3,3,5}\)

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