The function shown in the image is:

$f(x) = 10x^2 + x$

You are asked to evaluate this function for $x = 7$.

Let's calculate the value of $f(7)$:

$f(7) = 10(7)^2 + 7$

I will compute this for you.The value of $f(7)$ is $497$.

Do you want more details or have any questions?

Here are some related questions:

1. What would the value of $f(x)$ be for other values of $x$, such as $x = -3$?
2. How do you determine the vertex of a quadratic function like $f(x) = 10x^2 + x$?
3. Can you factor the quadratic expression $10x^2 + x$?
4. How does the graph of $f(x) = 10x^2 + x$ look?
5. What is the axis of symmetry for the quadratic function $f(x) = 10x^2 + x$?

Tip: When dealing with quadratic functions, remember that their graphs are parabolas, and their general form is $ax^2 + bx + c$.