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

To find the value of the function \( f(x) = -3 + 8x^2 \) at \( x = 5 \), we substitute \( 5 \) for \( x \).

\[ f(5) = -3 + 8(5^2) \]

First, calculate \( 5^2 \):

\[ 5^2 = 25 \]

Now, substitute back into the function:

\[ f(5) = -3 + 8(25) \]

Next, calculate \( 8(25) \):

\[ 8(25) = 200 \]

Now plug this value back into the function:

\[ f(5) = -3 + 200 \]

Finally, combine the values:

\[ f(5) = 197 \]

Thus, the value of \( f(5) \) is \( \boxed{197} \).