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CAT Graphical representation of a function - Practice Questions & MCQ

Edited By admin | Updated on Oct 04, 2023 04:20 PM | #CAT

Quick Facts

  • 2 Questions around this concept.

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The graph of $y=3|x-2|$ is:

The graph y = {2x} is:

Concepts Covered - 1

Graphical representation of a function

A graph represents a function, if there exists a vertical line which meets the graph in not more than two or more points, i.e., a vertical line meets the graph at only one point.

In this diagram, the vertical dotted line meets the graph at only one point. So the Y-axis represents a function.

Identity Function

Let R be the set of real numbers. Define the real valued function \mathrm{f: R \rightarrow R} by \mathrm{y=f(x)=x} for each \mathrm{x \in R}. Such a function is called the identity function. Here the domain and range of f are R.

The graph is a straight line and passes through the origin.

Constant Function:

Define the function \mathrm{f: R \rightarrow R \text { by } y=f(x)=c, x \in R} by where c is a constant and each . Here the domain of f is R and its range is { c }.

The graph is a line parallel to x-axis.

Tips and Tricks for Graphical Representation of Functions

  • Tip 1: Familiarise yourself with the basic function shapes
  • Tip 2: Pay attention to the intercepts and endpoints
  • Tip 3: Understand the effects of transformations on function graphs
  • Tip 4: Practise analysing function graphs through real-life applications

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