Given:
The function is:
[tex]f(x)=\{(1,0),(2,3),(3,6)\}[/tex]
The given function is:
[tex]f(x)=1-2x[/tex]
The range of this function is [tex]\{-3,-5,-7\}[/tex].
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,
[tex]f(x)=\{(1,0),(2,3),(3,6)\}[/tex]
Here, the x-values are 1, 2, 3 and the y-values are 0, 3, 6.
Therefore, the range of the given function is [tex]\{0, 3, 6\}[/tex]. Hence, the correct option is C.
The given function is:
[tex]f(x)=1-2x[/tex] ...(i)
The range of this function is [tex]\{-3,-5,-7\}[/tex].
Putting [tex]f(x)=-3[/tex] in (i), we get
[tex]-3=1-2x[/tex]
[tex]-3-1=-2x[/tex]
[tex]\dfrac{-4}{-2}=x[/tex]
[tex]2=x[/tex]
Similarly,
Putting [tex]f(x)=-5[/tex] in (i), we get
[tex]-5=1-2x[/tex]
[tex]3=x[/tex]
Putting [tex]f(x)=-7[/tex] in (i), we get
[tex]-7=1-2x[/tex]
[tex]4=x[/tex]
The domain of this function is [tex]\{2,3,4\}[/tex]. Hence, the correct option is A.
