Algebra 8

4 marks · Normal

The following table gives the mapping from numbers in set P to set Q.

For this mapping:

(a)

Is this mapping a function? Give a reason.

[1 mark]

(b)

Write down the domain and range of the mapping.

[2 marks]

(c)

Is this function one-to-one or many-to-one? Explain.

[1 mark]

Work this out on paper, then compare with the answer and worked solution below. With a free account you can submit written answers for marking.

Show answer

(a) Yes, it is a function. Each input has exactly one output.

(b) Domain: {1, 2, 3, 4}; Range: {−2, 0, 2, 4}

Show mark scheme and worked solution

Marking points

B1 (a) · 1 mark · Correctly identifies it is a function with valid reason.

B2 (b) · 1 mark · States correct domain: {1, 2, 3, 4}

B3 (b) · 1 mark · States correct range: {−2, 0, 2, 4}

B4 (c) · 1 mark · Correctly states one-to-one or many-to-one with justification.

Worked solution

a) Yes, each input (from P) goes to exactly one output (Q).

b) Domain is {1, 2, 3, 4}, Range is {−2, 0, 2, 4}.

c) It is one-to-one because each input gives a unique output.