1. **State the problem:** Determine which statement about the graph of the function $y = 16(0.5)^x$ is NOT true. 2. **Recall the function and its properties:** The function is an exponential decay function of the form $y = a b^x$ where $a = 16$ and $b = 0.5$ (with $0 < b < 1$). 3. **Analyze each statement:** - **A: The y-intercept is $(0,16)$**. The y-intercept occurs when $x=0$, so $y = 16(0.5)^0 = 16 \times 1 = 16$. This is true. - **B: The graph is decreasing for all values of $x$**. Since $0 < b = 0.5 < 1$, the function is decreasing for all $x$. This is true. - **C: The x-intercept is $(0.5, 0)$**. The x-intercept occurs when $y=0$. For $y = 16(0.5)^x$, since $16(0.5)^x > 0$ for all real $x$, the function never equals zero. Therefore, there is no x-intercept. This statement is false. - **D: The graph has a horizontal asymptote at $y=0$**. As $x \to \infty$, $(0.5)^x \to 0$, so $y \to 0$. This is true. 4. **Conclusion:** The statement that is NOT true is **C**. **Final answer:** Statement C is NOT true because the function has no x-intercept.