Draw a sketch of the graph of the equation $\displaystyle {y}=-{x}^{{3}}+{10}$, on a piece of paper. Then answer the following questions. Note: For the intercepts, write the answer as an ordered pair or a list of ordered pairs separated by commas. If an intercept does not exist, enter $\displaystyle {D}{N}{E}$. Round your answer to three decimal places as needed.

Horizontal-intercepts: Preview Question 6 Part 1 of 5  

Vertical-intercept: Preview Question 6 Part 2 of 5  

Is the graph symmetric with respect to the horizontal-axis? ? yes no

Is the graph symmetric with respect to the vertical-axis? ? no yes

Is the graph symmetric with respect to the origin?? yes no