DSQ: Understanding functions

Practice Questions

GMAT Quantitative Reasoning › DSQ: Understanding functions

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1

Define .

Evaluate $(f \circ g) (9)$ .

Statement 1:

Statement 2:

2

This relation has five different ordered pairs: is it a function?

$\begin{matrix} \underline{x}&\underline{y}\ 1& A\ 2& A\ 3& A\ B&A + 1 \ 5& A + 2 \end{matrix}$

Statement 1:

Statement 2:

3

What is the first term of the geometric sequence?

Statement 1: The sum of the second and third terms is 90.

Statement 2: The sum of the third and fourth terms is 450.

4

$f ^{-1} (A) = 40$

Evaluate .

Statement 1: The graph of includes the point .

Statement 2:

5

Given a function , it is known that:

Given a function , evaluate .

Statement 1:

Statement 2: is an odd function.

6

Is a given relation a function?

Statement 1: The domain of the relation is $\left { 1, 2, 3, 4, 5\right }$ .

Statement 2: The range of the relation is $\left { 1, 2, 3, 4, 5\right }$ .

7

Is a given relation a function?

Statement 1: Two of its ordered pairs have -coordinate .

Statement 2: Two of its ordered pairs have -coordinate .

8

Give the first term of an arithmetic sequence $a_{n}$

Statement 1: The eighth and ninth terms are 65 and 72, respectively.

Statement 2: $a_{2} +7 = a_{3}$

9

Give the first term of an arithmetic sequence $a_{n}$ .

Statement 1: The arithmetic mean of $a_{2}$ and $a_{3}$ is 24.

Statement 2: The common difference of the sequence is 10.

10

The first two terms of a sequence, $a_{1}$ and $a_{2}$ , are given specific values, which you are not given. Each successive term is equal to the sum of the two preceding terms. For example, the fifth term is equal to the sum of the third and fourth terms.

Calculate $a_{1}$ .

Statement 1: $a_{5} = 18$

Statement 2: $a_{8} = 76$

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