Final answer:
The question pertains to the graphing and interpretation of a given function f(x) in mathematics, and the application of the uniform distribution concept in probability when the function represents a continuous probability distribution.
Step-by-step explanation:
The question provided relates to a function f(x) and its graph within specified intervals. For 0 ≤ x ≤ 20, if f(x) = x2 - 10 the graph will be a parabola opening upwards with a vertex located at the point where x equals the square root of 10. When f(x) = 20, the graph is a horizontal line.
For a probability distribution, such as the one described by f(x) = 1/10 for 0 ≤ x ≤ 10, we deal with the Uniform Distribution. The probability P(0 < x < 4) for this uniform distribution is found by calculating the area under the curve, which in a uniform distribution is simply the base times the height of the rectangle (4 - 0) * (1/10) = 0.4.
If we are to consider performing work with a force F(x) measured in newtons over a distance from x = 0 to x = 10 m, we would integrate the given force function over this interval to find the work done.
Lastly, when dealing with continuous probability distributions, the probability of a single point, such as P(x = 7) or P(x = 10), is zero since points have no width.