Name the functions of the graphs a, b, c, d

Question

Question

This question was previously asked in

LPSC ISRO Technical Assistant Electronics 07 Aug 2016 Official Paper

\( a\;:f\left( x \right) = x;\;b\;:f\left( x \right) = \left| x \right|;\;c\;:f\left( x \right) = {e^x};\;d\;:f\left( x \right) = x + 2\)
a : f(x) = x + 1; b : f(x) = x²; c : f(x) = log x; d : f(x) = x - 2
\(a\;:f\left( x \right) = - x;\;b\;:f\left( x \right) = \left| x \right|;\;c\;:f\left( x \right) = - {e^x};\;d\;:f\left( x \right) = x + 2\)
\(a\;:f\left( x \right) = x;\;b\;:f\left( x \right) = \left| {{x^2}} \right|;\;c\;:f\left( x \right) = {e^x};\;d\;:f\left( x \right) = x - 2\)

Answer 1

Explanation:

Graph ‘a’

This clearly represents the equation y = mx.

m: slope of the line.

If the slope is positive the graph will be:

F2 Shubham B 4.3.21 Pallavi D12

If the slope is negative the graph will be:

F2 Shubham B 4.3.21 Pallavi D13

Graph ‘b’

x	1	-1	2	-2	3	-3
y = \|x\|	1	1	2	2	3	3

F2 Shubham B 4.3.21 Pallavi D14

Graph ‘c’

The exponential rising function is shown below:

F2 Shubham B 4.3.21 Pallavi D15

f(x) = e^x

Graph ‘d’

Consider the equation y = mx + c

The graph is shown below:

F2 Shubham B 4.3.21 Pallavi D16

C: intercept on the ‘y – axis’

Conclusion:

The graphs are:

a: f(x) = x

b: f(x) = |x|

c: f(x) = e^x

d: f(x) = x + 2