SS1 Further Mathematics

Which of the following is an identity function?

• A. f(x)=x²

• B. f(x)=x+1

• C. f(x)=x
  

• D. f(x)=2x−1

log₂​16=x, what is the value of x?

• A. 2
  

• B. 3
  

• C. 8
  

• D. 4

If f(x)=2x+1 and g(x)=x², what is (fog)(x)?

• A. 2x²+1
  

• B. 2(x+1)²
  

• C. 2x+x²
  

• D. 2x²−1

Which of the following defines a function?

• A. A relation where every output has multiple inputs
  

• B. A relation where one input maps to multiple outputs
  

• C. A relation where each input has exactly one output
  

• D. A relation where all inputs are equal

Given the function f:A→B, where A={1,2,3,4} and B={2,4,6,8,10} and f(x)=2x

determine the range of f

• A. {2,4,6,8,10}
  

• B. {2,4,6,8}
  

• C. {1,2,3,4}
  

• D. {2,6,10}

A mapping f:A→B is called one-to-one (injective) if:

• A. The number of elements in A and B are equal.

• B. Different elements in A map to the same element in BBB.

• B. Every element in B is mapped to by at least one element in A.

• D. Different elements in A have different images in B.

A mapping diagram is given as follows:

A={1,2,3},B={a,b,c}

where the mapping is:

1→a, 2→b, 3→b

Which statement is correct?

• A. The relation is a function because each element in A has a unique image in B.
  

• B. The relation is not a function because b is assigned twice.
  

• C. The relation is a function because A and B have the same number of elements.
  

• D. The relation is not a function because a is missing an inverse.

The nth term of a sequence is given by T_n=3n−4. Find the 10th term.

The sum of the first n terms of a sequence is given by S_n=5n²+3n. Find the 5th term.

Find the next term in the sequence: 2, 6, 12, 20, 30, ...