Final answer:
A quadratic function is a mathematical function of the form f(x) = ax² + bx + c. We can find the graph of a quadratic function by plotting points and calculating the corresponding y-values. To find a specific range of values, substitute the values of x into the function and calculate the corresponding y-values.
Step-by-step explanation:
A quadratic function is a mathematical function of the form f(x) = ax² + bx + c, where a, b, and c are constants.
In this case, the quadratic function is f(x) = 2x² - 8x + 7.
To find the graph of the function, we can plot points by substituting different values of x into the function and calculating the corresponding y-values.
To find P(2.5 < x < 7.5), we need to find the values of f(x) for x between 2.5 and 7.5.