Without graphing, determine whether the function represents exponential growth or exponential decay. Then find the \( y \)-intercept. \( f(x)=4(0.64)^{x} \) Choose the correct answer below. The function represents exponential decay. The function represents exponential growth. The y-intercept is \( \square \). (Type an integer or a decimal.)

The given function is: \[ f(x) = 4 \times (0.64)^x \] **1. Determining Growth or Decay:** - **Base Analysis:** The base of the exponential function is \( 0.64 \). - **Growth vs. Decay:** - If the base \( b > 1 \), the function represents **exponential growth**. - If the base \( 0 < b < 1 \), the function represents **exponential decay**. Since \( 0.64 < 1 \), the function represents **exponential decay**. **2. Finding the \( y \)-Intercept:** The \( y \)-intercept of a function occurs where \( x = 0 \). \[ f(0) = 4 \times (0.64)^0 = 4 \times 1 = 4 \] **Conclusion:** - **Exponential Behavior:** The function represents **exponential decay**. - **\( y \)-Intercept:** The \( y \)-intercept is **4**. **Final Answer:** - The function represents exponential decay. - The y-intercept is \( 4 \).