The statement, “all basketball players are tall” is a stereotype.

Yes this is a stereotype

Explanation:

A stereotype is the over generalization of a belief towards a certain group of people.

Let us take the NBA as an example. The average height of the people in the National Basketball Association is 6 feet 7 inches. 5 feet 9 inches is the average height of men in the USA. To be considered tall would be taller than this height. There are players in the NBA that are shorter than this height. Muggsy Bogues is 5 ft 3 in tall, Earl Boykins is 5 ft 5 in tall. The more accurate statement would be "Most basketball players are tall".

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explanation:

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .