### Home > CALC > Chapter 1 > Lesson 1.4.1 > Problem 1-140

1-140.

Given the function

*f*(*x*) sketched below, Homework Help ✎

Sketch

*f*(−*x*).Sketch

*−f*(*x*).Sketch

*f*(*f*(*x*)).

Start by making a table of values for the given function.

Give each of the *x*-values in your table the opposite sign and graph the new function.

Since *f*(*x*) = *y*, give each of the *y*-values in your original table the opposite sign. Then graph the new function.

Add a third column to your original table labeled *f*(*f*(*x*)). Then, for example, *f*(*f*(–3)) = *f*(1) = –1.