The graph below shows the height of a basketball after it is thrown towards a basketball hoop.Which of the following gives the domain for this function?
Question
The graph below shows the height of a basketball after it is thrown towards a basketball hoop.
Which of the following gives the domain for this function?
Solution
To determine the domain of a function, we need to look at the input values that are valid for the given situation. In this case, the graph represents the height of a basketball after it is thrown towards a basketball hoop. The domain of this function would be the set of all possible input values for the height of the basketball.
Looking at the graph, we can see that the height of the basketball is positive and increasing as time progresses. Therefore, the domain of this function would be all positive real numbers or all values greater than zero.
In mathematical notation, we can represent the domain as follows:
Domain = (0, +∞)
This means that any positive real number is a valid input for the height of the basketball in this situation.
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