To find the y-intercept of a given function, $f(x)$, you need to evaluate the function at $x = 0$. The y-intercept is the point where the graph of the function crosses the y-axis.

Given the function:

$f(x) = e^{(2x^2 - x)}$

Substitute $x = 0$ into the function:

$f(0) = e^{(2(0)^2 - 0)} = e^{(0)} = e^0 = 1$

So, the y-intercept of the function $f(x) = e^{(2x^2 - x)}$ is $(0, 1)$.

Would you like to dive deeper into any other aspect of this problem?

Here are 5 related questions:

1. How do you find the x-intercepts of the function $f(x) = e^{(2x^2 - x)}$?
2. What is the general process for finding intercepts of exponential functions?
3. How does the derivative of $f(x) = e^{(2x^2 - x)}$ behave?
4. Can you sketch the graph of $f(x) = e^{(2x^2 - x)}$?
5. What is the significance of intercepts in analyzing the behavior of functions?

Tip: When working with exponential functions, remember that the function never crosses the x-axis unless the exponent is negative infinity.