### Home > CALC > Chapter 1 > Lesson 1.2.3 > Problem 1-57

1-57.

Sketch a graph of

*y*= 1 −*x*^{3}. Then complete the following approach statements. 1-57 HW eTool (Desmos). Homework Help ✎As

*x*→ ∞,*y*approaches?As

*x*→ −∞,*y*approaches?As

*x*→ 0^{−}(from the left),*y*approaches?

As *x* →∞, the*y*-values keep going down.

As *x* →∞, *y*→−∞

As *x* →−∞, do the *y*-values go up, down, or do they level off to a horizontal asymptote?

Follow the curve towards *x* = 0 from the left of that point. What *y*-value do you predict?

Use the eTool below to view the graphs of the parts.

Click the link at right for the full version of the eTool: Calc 1-57 HW eTool