Domain Codomain Range One-To-One Onto

• One-to-one and onto, because every element in x that is a real number has a unique real number in y-value.

• One-to-one but not onto, because every element in the domain is assigned to exactly one element in the co-domain, however not all elements in the co-domain is assigned to an element in the domain.

• Onto but not one-to-one, all elements in the co-domain is assigned to an element in the domain, however some elements in the domain is assigned to more than one element in the co-domain.

• Neither one-to-one nor onto, because if n(x)= n(-1) and n(0) the answer is equal to 0. Also, not all elements in the co-domain is assigned to an element in the domain.

What is the Domain of the function below?

• D= {-1, -3, 4, 5, 6, 8}

• D= {2, 5, 7, 9, 7, -2}

• D= {2, 7, 9, 7, -2}

• D= {-1, 5, 6, -3, 4, 8, 2, 7, 9, -2}

Given: A= {1, 3, 5, 7, 9, 11) B= {2, 4, 6, 8, 10) Which of the following is onto but not one-to-one function?. Suppose that we have a function mapping from set A to Set B.

• (1, 2) (3, 4) (5, 6) (7, 8) (9, 10) (11, 10)

• (1, 2) (3, 4) (5, 6) (7,8) (9, 10) (11, 3)

• (1, 4) (3, 2) (5, 8) (7, 6) (9, 2) (11, 4)

• (1, 4) (3, 2) (5, 6) (7, 6) (9, 2) (11, 4)

Select TWO correct answers.

Domain

​ (a)  

Range

​ (b)  

• The domain of the function is {0,1,2,3,4,5}

• The range of the function {0,96,192,288,384,480}

• The domain of the function is all real numbers

• The domain of the function {0,96,192,288,384,480}

• The range of the function {0,1,2,3,4,5}

• The range of the function is all real numbers.

Which of the following statements are correct? Select ALL that apply.

• Domain is the set of input (x)

• In a one-to-one function. two different inputs CANNOT share the same output,

• Onto means there is no extra possible output with no input.

• Range is the set of both input and output combined.

The graph shown has a domain of​ (a)   .

It has a range of (b)   ​ (c)   (d)   . ​

• ARN

• y

• >

• G

• x

• <

• E

• B

• A

• H

A student borrowed $480 from a friend. He agreed to make monthly payments of $96 with no interest until the loan balance was paid off. The function shown models this situation, where f(x) represents the remaining loan balance in dollars after the student has made x monthly payments. Which statements are true about the domain and range of the function for this situation? Select the correct answers.

• D: {0, 1, 2, 3, 4, 5}

• R: {0, 96, 192, 288, 384, 480}

• D: all real numbers

• R: {0, 1, 2, 3, 4, 5}

• : {0, 96, 192, 288, 384, 480}

• D: {0, 96, 192, 288, 384, 480}

• R: all real numbers

Answer explanation

Domain - x values

Range - y values

Real-world examples = apply common sense and judgements

State the domain:

• (-oo, 4)

• (-oo, 2]

• [2, oo)

• [4, oo)

What is the DOMAIN?

• (4, ∞)

• (-4, ∞)

• [-3, 3)

• (-3, 3]

A student borrowed $480 from a friend. He agreed to make monthly payments of $96 with no interest until the loan balance was paid off. The function shown models this situation, where f(x) represents the remaining loan balance in dollars after the student has made x monthly payments. Which statements are true about the domain and range of the function for this situation? Select the correct answers.

• D: {0, 1, 2, 3, 4, 5}

• R: {0, 96, 192, 288, 384, 480}

• D: all real numbers

• R: {0, 1, 2, 3, 4, 5}

• {0, 96, 192, 288, 384, 480}

• D: {0, 96, 192, 288, 384, 480}

• R: all real numbers

Answer explanation

Domain - x values

Range - y values

Real-world examples = apply common sense and judgements