Functions | CIE A Level Maths: Pure 1 Topic Questions 2020

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

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1

4 marks

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

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

$f : x \mapsto \sin x$

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

$f : x \mapsto \ln x$

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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}

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1a

2 marks

It is given

$f (x) = 4 x^{3} + 4 x^{2} - 7 x + 2$

Write down the domain and range of the function $f (x) .$

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1b

3 marks

Sketch the graph of $y = f (x),$ stating the coordinates of any intersections with the coordinate axes. (You do not need to give the coordinates of any turning points.)

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CIE A Level Maths: Pure 1

Topic Questions

1.3 Functions