Function 1 is a linear function given by the verbal description: A linear function has a rate of change of 5 and an initial value of 2 . Which function has a greater vertical intercept than Function 1 ? \( f(x)=0.3 x^{2}+4 \) \( f(x)=0.25 x+2 \) \( f(x)=3^{x} \) \( f(x)=1.5 x^{2}+2 x-3 \)

To find which function has a greater vertical intercept than Function 1, which can be expressed as \( f(x) = 5x + 2 \) (initial value or y-intercept is 2), we need to compare the y-intercepts of the given functions. 1. **For \( f(x)=0.3 x^{2}+4 \)**, the y-intercept is 4. This is greater than 2. 2. **For \( f(x)=0.25 x+2 \)**, the y-intercept is 2. This is equal to Function 1 and not greater. 3. **For \( f(x)=3^{x} \)**, when \( x=0 \), \( f(0)=3^{0}=1 \), which is less than 2. 4. **For \( f(x)=1.5 x^{2}+2 x-3 \)**, the y-intercept is -3, which is also less than 2. Therefore, the only function with a greater vertical intercept than Function 1 is \( f(x)=0.3 x^{2}+4 \).