Final Answer:
The value of f(-3) for the given function is [insert final numerical value here].
Step-by-step explanation:
The x-intercepts of a function are the points where the graph of the function intersects the x-axis. In this case, the x-intercepts are -3 and 1. To find f(-3), we need to substitute x = -3 into the function and evaluate the result.
The function evaluates to f(-3) = [insert intermediate value here]. This value represents the y-coordinate of the point on the graph where x = -3. Therefore, the final answer is [insert final numerical value here].
Now, let's delve into the calculation. The x-intercepts indicate the points where the function equals zero. If the x-intercepts are -3 and 1, then the function can be expressed as f(x) = a(x + 3)(x - 1), where 'a' is a constant.
To find 'a,' we can use another point on the graph, say (0, b). Substituting these coordinates into the function, we get b = a(0 + 3)(0 - 1). Solving for 'a,' we find a = [insert value here]. Now, we substitute x = -3 into the function: f(-3) = [insert numerical calculation here]. Therefore, the final answer is [insert final numerical value here].
In conclusion, the x-intercepts help us determine the factors of the function, and by finding the constant 'a,' we can express the function and evaluate specific points, such as f(-3).