Respuesta :
Let x represent input and y represent output.
We are asked to write function rule for each of the given verbal description.
(a) The output is five less than the input.
This means that y is 5 less than x. So we will subtract 5 from x and equate with y as:
[tex]y=x-5[/tex]
Therefore, our required expression would be [tex]y=x-5[/tex].
(b) The output is one fourth the input.
This means that y is [tex]\frac{1}{4}[/tex] of x. So we will multiply x by [tex]\frac{1}{4}[/tex] and equate with y as:
[tex]y=\frac{1}{4}x[/tex]
Therefore, our required expression would be [tex]y=\frac{1}{4}x[/tex].
(c) The output is one more than twice the input.
The twice of the input would be 2 times x that is [tex]2x[/tex].
One more than twice the input would be [tex]2x[/tex] plus 1 that is [tex]2x+1[/tex].
Now we will equate [tex]2x+1[/tex] with y as:
[tex]y=2x+1[/tex]
Therefore, our required expression would be [tex]y=2x+1[/tex].
