Which of the following functions undergoes a vertical compression? Option \#1: \( f(x)=5 x^{3} \) Option \#2: \( f(x)=-\frac{3}{2} x^{3} \) Option \#3: \( f(x)=-\frac{5}{7} x^{3} \) (1 point)

A **vertical compression** occurs when the absolute value of the coefficient multiplying the function is between 0 and 1. Let's evaluate each option: 1. \( f(x) = 5x^{3} \): The coefficient is **5**, which is greater than 1. This results in a **vertical stretch**. 2. \( f(x) = -\frac{3}{2}x^{3} \): The coefficient is **\(\frac{3}{2}\)** (or 1.5), which is also greater than 1. This is another **vertical stretch**. 3. \( f(x) = -\frac{5}{7}x^{3} \): The coefficient is **\(\frac{5}{7}\)**, which is between 0 and 1. This induces a **vertical compression**. **Answer:** Option #3: \( f(x)=-\frac{5}{7} x^{3} \)