Question

Graph the function f(x)={1/8x for x<0

Answer 1

The range of the function is all real numbers less than or equal to 0 Range: f(x)≤0

The function f(x)=
`(1)/(8x)` is defined only for x<0. Therefore, the domain of the function is all real numbers x such that x<0.

Mathematically, we can express the domain as:

Domain: x<0

Now, let's consider the range. The range is the set of all possible values that the function can take. Since f(x)=
`(1)/(8x)` , as x approaches 0 from the left (x→0 ), the function approaches negative infinity (f(x)→−∞). As x becomes more negative, the function values become smaller, but they never reach 0.

Therefore, the range of the function is all real numbers less than or equal to 0 Range: f(x)≤0

Question

Find the Domain and Range f(x)={1/8x for x<0.