Question

If 8 is an element in the domain of f(x)=5x-25 over 2, what is the corresponding element in the range?

Answer 1

The element in the range correspoding to x = 8 is y = 7.5

Let's find the corresponding element:

For a general function pair y = f(x). x belongs to the domain, and y belongs to the range.

So, if we want to find the element in the range correspondent to x = 8, we need to find:

y = f(8)

y = (5*8 - 25)/2

y = (40 - 25)/2

y = 15/2

y = 7.5

Answer 2

The corresponding element in the range is 7.5.

Solution:

The domain of the function is all the input values of x.

The range of the function is the all the output values of y or f(x).

`$f(x)=(5 x-25)/(2)`

8 is an element in the range of the function.

This means x = 8.

To find the corresponding element in the range:

Substitute x = 8 in f(x).

`$f(8)=(5 (8)-25)/(2)`

`$=(40-25)/(2)`

`$=(15)/(2)`

= 7.5

f(8) = 7.5

The corresponding element in the range is 7.5.