Question

Using the given function, select the correct set of ordered pairs for the following domain values.

Answer 1

The set of ordered pair are { (-12,-18),(-3,-3), (0,2),(3,7),(12,22)}

Explanation:

we have

`f(x)=(5)/(3)x+2`

Find the values of f(x) for the domain values

For x=-12

substitute

`f(-12)=(5)/(3)(-12)+2=-18`

The ordered pair is (-12,-18)

For x=-3

substitute

`f(-3)=(5)/(3)(-3)+2=-3`

The ordered pair is (-3,-3)

For x=0

substitute

`f(0)=(5)/(3)(0)+2=2`

The ordered pair is (0,2)

For x=3

substitute

`f(3)=(5)/(3)(3)+2=7`

The ordered pair is (3,7)

For x=12

substitute

`f(12)=(5)/(3)(12)+2=22`

The ordered pair is (12,22)

Answer 2

Answer with explanation:

The given function is

`f(x)=(5x)/(3)+2\\\\x=-12,-3,0,3,12\\\\f(-12)=(5* -12)/(3)+2\\\\f(-12)=-20+2\\\\f(-12)=-18\\\\f(-3)=(5 * -3)/(3)+2\\\\f(-3)=-5+2\\\\f(-3)=-3\\\\f(0)=(5* 0)/(3)+2\\\\f(0)=2\\\\f(3)=(5* 3)/(3)+2\\\\f(3)=5+2\\\\f(3)=7\\\\f(12)=(5* 12)/(3)+2\\\\f(12)=20+2\\\\f(12)=22`

So, the ordered pair will be

(-12, -18),(-3,-3),(0,2),(3,7),(12,22)