Graph -x^3

Problem

−x3

Solution

1. Identify the parent function as ƒ(x)=x3 which is an odd function that passes through the origin (0,0) and increases across its entire domain.

2. Apply the transformation by noting the negative sign in front of the function, which represents a reflection across the xaxis.

3. Determine key points by substituting values for x into the function y=−x3

4. Calculate the point for x=−2 y=−(−2)3=−(−8)=8

5. Calculate the point for x=−1 y=−(−1)3=−(−1)=1

6. Calculate the point for x=0 y=−(0)3=0

7. Calculate the point for x=1 y=−(1)3=−1

8. Calculate the point for x=2 y=−(2)3=−8

9. Sketch the curve by plotting these points and drawing a smooth, continuous line that decreases from left to right, passing through the origin with a horizontal tangent.

Final Answer

y=−x3

Want more problems? Check here!