Domain & Range — XAT Previous-Year Questions

4 previous-year questions on Domain & Range from XAT, with full solutions. Practise free — check answers as you go; sign in to save your progress.

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4 questions

Domain & Range · XAT PYQs

XAT 2022 · QA & DI

Passage / Data

Read the following scenario and answer the THREE questions that follow.

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The given candlestick chart depicts the prices of a particular stock over 10 consecutive days. A candlestick comprises of a rectangular box pieced by a line. The top and bottom ends of the line respectively indicate the maximum and minimum prices of the stock on that day, while the horizontal edges of the rectangle correspond to the stock's opening and closing prices. If the rectangle is white, the opening price is lower than the closing price, but if the rectangle is black, then it is the other way around.

Using the above information, answer the questions that follow:

Q1.

Consider the real-valued function f(x) = $\frac{\log (3 x - 7)}{\sqrt{2 x^{2} - 7 x + 6}}$ . Find the domain of f(x).

XAT 2021 · QA & DI

Q2.

Let f(x) = $\frac{x^{2} + 1}{x^{2} - 1}$ if x ≠ 1, -1, and 1 if x = 1, -1. Let g(x) = $\frac{x + 1}{x - 1}$ if x ≠ 1, and 3 if x = 1. What is the minimum possible values of $\frac{f (x)}{g (x)}$ ?

XAT 2019 · QA & DI

Q3.

Consider the function f(x) = (x + 4)(x + 6)(x + 8) â¯ (x + 98). The number of integers x for which f(x) < 0 is:

XAT 2015 · QA & DI

Q4.

Find the equation of the graph shown below.

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