11Adv yearly revision (WestMath20)

Answer explanation

Answer explanation

Which set of points below is a function?

• (–6, 7),  (7 , 6),

  (–4, 5) and (–6, –4)

• (–6, 7),  (7 , –4),

  (–6, 5) and (7, –2)

• (–6, 7),  (7 , 5),

  (–4, 5) and (7, –6)      

• (–6, 7),  (7 , –6),

  (–4, 5) and (5, –4)      

Answer explanation

Only in D does each x-value map onto only one y-value, i.e. there are no repeated x-values.

Graphically, no point in D is directly above another point, but in the other sets there is one or more pairs which are.

The graph of y = f (x) is shown.

Which graph could represent y = f ’ (x)?

• 
• 
• 
• 

Answer explanation

A theatrical agent has 50 artists on his books.

The Venn diagram shows the genres in which they perform.

He rings one of his artists at random.

What is the probability that the artist does comedy or documentary or both, but not drama?

Answer explanation

Answer explanation

Mitch is allowed to bowl a maximum of four overs in a game of T20 cricket. His captain will allocate Mitch between one and four overs, depending on his performance.

Letting the random variable X be the number of overs Mitch is allocated, the table summarises the distribution.

What is P(X > 2) ?

• 0.216

• 0.36

• 0.64

• 0.784

Answer explanation

Answer explanation