Let f(x) = |x| / x , where x can be any real number except 0.
b. what is the range of f?

Range of f(x)={-1,1}

Step-by-step explanation:

We are given that a function

where x can be any real number except 0.

We have to find the range of f.

The given function can be written as

We can see that when substitute the value of x less than 0 then we get

when we substitute the values of x greater than 0 then we get

Range of f(x)={-1,1}

(1,4) is on graph of f(x)

f(1) = 4

so 1/4 f(x)

1/4 f(1)

1/4. ×4

1

so point for function 1/4. f(x) is (1,1)