Question

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

Alternate coordinate systems

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

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: $$R={−3,3,5}$$