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Chapter 8: Q. 8 (page 556)

Sketch the graph of each of the following functions:

(a)y=x

(b)y=x2(c)y=x(d)y=x3(e)y=ex(f)y=lnx(g)y=sinx(h)y=cosx(i)y=tanx

Short Answer

Expert verified

The required graphs

(a)

(c)

(d)

(e)

(f)

(g)

(h)

(i)

Step by step solution

01

Part (a) Step 1. Given Information

A function is given as y=x

We need to plot the given function on a graph.

02

Part (b) Step 2. Required graph

Points on the graph are:

(0,0),(1,1),(2,2),(3,3)

Plotting these points we get the graph as,

03

Part (b) Step 1. Required graph

The function isy=x2

Points are:

(1,1),(2,4),(3,9),(-2,4),(-3,9),(-1,1)

Plotting these points, we get the graph as,

04

Part (c) Required Graph

The function is y=x

Points are(1,1),(4,2),(9,3)

The graph will be:

05

Part (d) Required graph

The function isy=x3

The points to be plotted on the graph are

(1,1),(2,8),(-2,-8),(-1,-1)

06

Part (e) Required Graph

The function isy=ex

Points to be plotted are:

(-2,0.135)(1,2.718)(0,1)

07

Part (f) Required Graph

The function isy=lnx

The graph of the function is

08

Part (g) Step 1. Required Graph

The function isy=sinx

The graph will be

09

Part (h) Step 1. Required Graph

The function isy=cosx

The graph will be

10

Part (i) Step 1. Required Graph

The function isy=tanx

The graph will be

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