1. **State the problem:** We are given the function $y = \frac{7}{8}x^3$ and want to understand its shape and behavior. 2. **Formula and rules:** This is a cubic function of the form $y = ax^3$ where $a = \frac{7}{8}$. Cubic functions have an S-shaped curve, symmetric about the origin if $a$ is positive. 3. **Intermediate work:** The function is already simplified. For various $x$ values, $y$ is calculated as $y = \frac{7}{8}x^3$. 4. **Behavior:** - When $x$ is positive, $y$ is positive and grows quickly because of the cubic term. - When $x$ is negative, $y$ is negative and decreases quickly. - The graph passes through the origin $(0,0)$. 5. **Graph shape:** The curve starts from bottom-left (negative $x$ and $y$), passes through the origin, and goes to top-right (positive $x$ and $y$), showing the typical cubic S-shape. Final answer: The function $y = \frac{7}{8}x^3$ is a cubic curve with an S-shape symmetric about the origin, increasing steeply as $|x|$ grows.