If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

## Class 11 Physics (India)

### Course: Class 11 Physics (India)>Unit 3

Lesson 12: Interpreting features of graphs

# Graph interpretation word problem: basketball

When a function models a real-world context, we can learn a lot about the context from the function's graph. In this video, we interpret the y-intercept of a graph that models a basketball free throw. Created by Sal Khan.

## Want to join the conversation?

• If y(x) is a representation of the dependency of the y value at a certain (x), which of x or y(x) is the dependent variable and which is independent?
• The value of y(x) changes depending on the value of x. Therefore y(x) is the dependent variable and x is the independent variable
• What if the function is not defined for x=0? What will be the Y-intercept then?
• That's a great question!
Suppose y IS defined for all x values near x=0, but not AT x=0, then what we do is start somewhere near x=0, say at x=0.1, and see what values y has as we get closer to x=0. Then we do the same thing for x=-0.1. If, as we get closer and closer to x=0 from the positive and negative sides, y seems to be getting closer to some value, let's call it 'a', then we say the limit of y, as x gets closer to 0 is 'a', which is what y would be if the function was defined at x=0. This is a bit of an oversimplification of the process and is just meant to give you an intuition of the concept. You will learn more about this in precalculus and calculus, where quite a bit of time is spent on the definition of the limit.
• I do not quite comprehend the meaning "of the significance of the y value". I understand everything so far, but this description seems vague and the true meaning quite elusive. Why is the relative maximum not a significant value of y? Why does the hoop height not carry any significance?
• I think you might have read the question wrong. The question is not "of the significance of the y-value" it is instead: "of the significance of the y-intercept". There is an important distinction here.

The y-intercept is directly talking about where x=0, aka the starting point in this example. Thus, the significance deals with the starting value of the ball, or the height at which the ball is released. That is the significance of the y-intercept.

If we look at the significance of the y-value, then the answer would be something like: It describes the height of the ball at any given x.
• If Mr. Theisen is farther away, does it affect the outcome of the problem?
• I just love sal khan's drawing.
• At , he said goal. Shouldn't it be basket?
• Sal said: "The goal is at 26 feet away" at . In this context, the word "goal" means a target.
• Is there an easier way to do these type of problems?