f(x)= -3+ 8x^2 A function is shown.

To evaluate \( f(5) \) for the function \( f(x) = -3 + 8x^2 \), we will substitute \( x = 5 \) into the function.

\[ f(5) = -3 + 8(5^2) \] First, calculate \( 5^2 \): \[ 5^2 = 25 \] Now substitute that back into the equation: \[ f(5) = -3 + 8(25) \] Next, calculate \( 8 \times 25 \): \[ 8 \times 25 = 200 \] Now plug that value into the equation: \[ f(5) = -3 + 200 \] Finally, simplify: \[ f(5) = 197 \]

So, the value of \( f(5) \) is \( 197 \), not \( 126 \).