Functions and Number Sets Assessment

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input. In other words, for every x-value, there is one and only one y-value.

Front

How can you determine if a set of ordered pairs represents a function?

Back

A set of ordered pairs represents a function if no two pairs have the same first element (x-value) with different second elements (y-values).

Front

What is the definition of a natural number?

Back

Natural numbers are the set of positive integers starting from 1, 2, 3, and so on.

Front

What is the definition of a whole number?

Back

Whole numbers are the set of non-negative integers, including 0, 1, 2, 3, and so on.

Front

What is an integer?

Back

Integers are the set of whole numbers that can be positive, negative, or zero, such as -3, -2, -1, 0, 1, 2, 3.

Front

What is a rational number?

Back

A rational number is any number that can be expressed as a fraction or ratio of two integers, where the denominator is not zero.

Front

What is the square root of 27?

Back

The square root of 27 is approximately 5.2, which lies between 5 and 6 on a number line.

Front

Identify the function from the following sets of ordered pairs: {(9,5), (10,5), (9,-5), (10,-5)}, {(3,4), (4,-3), (7,4), (3, 8)}, {(6,-5), (7, -3), (8, -1), (9, 1)}, {(2, -2), (5, 9), (5, -7), (1, 4)}.

Back

The function is {(6,-5), (7, -3), (8, -1), (9, 1)} because each x-value is unique.

Front

What is the difference between a function and a relation?

Back

A relation is any set of ordered pairs, while a function is a specific type of relation where each input is associated with exactly one output.

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, but it cannot have the same input with different outputs.