Question

Help and explain pleaseeeeeeeee

Answer 1

Given:

The function is:

`f(x)=\{(1,0),(2,3),(3,6)\}`

The given function is:

`f(x)=1-2x`

The range of this function is
`\{-3,-5,-7\}`.

To find:

The range of first function.

The domain of second function.

Solution:

Domain is the set of input or x-values and range is the set of output or y-values.

We have,

`f(x)=\{(1,0),(2,3),(3,6)\}`

Here, the x-values are 1, 2, 3 and the y-values are 0, 3, 6.

Therefore, the range of the given function is
`\{0, 3, 6\}`. Hence, the correct option is C.

The given function is:

`f(x)=1-2x` ...(i)

The range of this function is
`\{-3,-5,-7\}`.

Putting
`f(x)=-3` in (i), we get

`-3=1-2x`

`-3-1=-2x`

`(-4)/(-2)=x`

`2=x`

Similarly,

Putting
`f(x)=-5` in (i), we get

`-5=1-2x`

`3=x`

Putting
`f(x)=-7` in (i), we get

`-7=1-2x`

`4=x`

The domain of this function is
`\{2,3,4\}`. Hence, the correct option is A.