How does the range of g(x)=6/x compare with the range of the parent function f(x)=1/x?

ANSWER

The two functions have the same range.

EXPLANATION

The given function is

Let:

We solve this equation for x,

x is defined for:

Hence the range is

Also,

Let

The range for this function is also,

Hence the two functions have the same range

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.

a and c

step-by-step explanation: