Question

Which equation represents the difference quotient of f(x) for all nonzero values of h?

Answer 1

Look at the graph thoroughly .

It passes through origin and given some points

(-1,1)

(1,-1)

(2,-2)

(-2,2)

We observe that

$\\ \sf\longmapsto f(x)=-x$

Hence whatever the function be the result will be -x

Option D is correct