Question

Consider the functions below.

f(x) = x
g(x) 1/5x

Which of the following statements describes the graph of function g?

The graph of g is one-fifth of a unit to the right of the graph of f.

The graph of g is one-fifth as steep as the graph of f.

The graph of g is five times steeper than the graph of f.

The graph of g is one-fifth of a unit to the left of the graph of f.

Answer 1

The graph of g is one-fifth as steep as the graph of f.

Explanation:

I got this right :)

Answer 2

we know that

f(x) = x
g(x)=(1/5)*x--------g(x)=(1/5)*f(x)

that means
a point (x,y) in f(x) ----------------->becomes a point (x,y/5) in g(x)

therefore

the answer is
The graph of g is one-fifth as steep as the graph of f.

using a graph tool
see the attached figure