Final answer:
To find f(8) for the given piecewise-defined function, we use the formula f(x) = 2x - 9 since 8 ≥ -3. The calculation yields f(8) = 7.
Step-by-step explanation:
To find f(8) for a piecewise-defined function, we need to determine which part of the piecewise function applies to the input value x = 8. According to the definition provided, f(x) = 3 if x < -3 and f(x) = 2x - 9 if x ≥ -3. Since 8 is greater than -3, we will use the second part of the function to compute f(8).
So we have f(8) = 2(8) - 9. By calculating this, we get f(8) = 16 - 9, which simplifies to f(8) = 7. Thus, the value of f(8) for this function is 7.