If \( f(x)=-2[x]+8 \), what is \( f(-1.8) ? \) 4 6 10 12

To evaluate \( f(-1.8) \) for the function \( f(x) = -2[x] + 8 \), we need to determine the value of \([x]\). Here, \([x]\) typically represents the **floor function**, which returns the greatest integer less than or equal to \( x \). 1. **Calculate \([ -1.8 ]\):** \[ [ -1.8 ] = -2 \] The floor of \(-1.8\) is \(-2\) because \(-2\) is the greatest integer less than \(-1.8\). 2. **Substitute into the function \( f(x) \):** \[ f(-1.8) = -2[-1.8] + 8 = -2(-2) + 8 = 4 + 8 = 12 \] **Answer:** 12