Functions (A Level only) | OCR A Level Maths: Pure Topic Questions 2018

1

4 marks

State whether the following mappings are one-to-one, many-to-one, one-to-many or many-to-many.

(i)

f : x \mapsto 4 x - 2

(ii)

f : x \mapsto x^{2}

(

iii)

f : x \mapsto \frac{x}{4}

(iv)

f : x \mapsto \sqrt{x}

How did you do?

Did this page help you?

1

4 marks

State whether the following mappings are one-to-one, many-to-one, one-to-many or many-to-many.

(i)

f : x \mapsto 2 - x^{3}

(ii)

f : x \mapsto \sin x

(iii)

f : x \mapsto \frac{1}{x^{2}}

(iv)

f : x \mapsto In x

How did you do?

Did this page help you?

1

4 marks

State whether the following mappings are one-to-one, many-to-one, one-to-many or many-to-many.

(i)

f : x \mapsto x^{2}

(ii)

f : x \mapsto 3 x + 1

(iii)

f : x \mapsto {(x + 1)}^{3}

(iv)

f : x \mapsto \pm \sqrt{x}

How did you do?

Did this page help you?

1

4 marks

State whether the following mappings are one-to-one, many-to-one, one-to-many or many-to-many.

(i)

f : x \mapsto \tan x

(ii)

f : x \mapsto |\frac{1}{x}|

(iii)

f : x \mapsto \sqrt{x^{2}}

(iv)

f : x \mapsto \pm \sqrt{25 - x^{2}}

How did you do?

Did this page help you?

OCR A Level Maths: Pure