Question

PLEASE HELP ITS DUE TOMORROW I DONT UNDERSTAND!!!!!

Answer 1

• Yes, the height, h(t) of a ball t seconds after it's dropped from the third floor of a building is a function.

• No, table B is not a function because no function can have the same y-values (5) for different x-values (1 and 8).

• Yes, table C is a function because it has different y-values for same x-values.

• Yes, graph D is a function because it has different y-values for same x-values.

What is a function?

A function can be defined as a mathematical expression which is used to define and represent the relationship that exists between two or more variables.

The types of function.

In Mathematics, there are different types of functions and these include the following;

• Periodic function

• Inverse function

• Modulus function

• Signum function

• Piece-wise defined function.

• Logarithm function

For this exercise, we would indicate whether or not each of the above mathematical relation represents a function:

• Yes, the height, h(t) of a ball t seconds after it's dropped from the third floor of a building is a function.

• No, table B is not a function because no function can have the same y-values (5) for different x-values (1 and 8).

• Yes, table C is a function because it has different y-values for same x-values.

• Yes, graph D is a function because it has different y-values for same x-values.

In conclusion, we can infer and logically deduce that a function maps every x-value in a valid domain to a single y-value only.

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