What of the following function(s) in an accurate description of the graph for the range(s) indicated? A. y=2 x+4 for -3 \leq x \leq-1 B. y=|x-1| for -1 \leq x \leq 2 C. y=|x|-1| for -1 \leq x \leq 2 D. y=1 for 2 \leq x \leq 3

Correct Answer is : (i), (ii) and (iv) only

GATE Civil Engineering (CE) 2018 Shift 1 Solved Paper

Question : 10 of 65

Marks: +1, -0

What of the following function(s) in an accurate description of the graph for the range(s) indicated?

y=2 x+4

for

-3 ≤ x ≤-1

y=|x-1|

for

-1 ≤ x ≤ 2

y=|x|-1|

for

-1 ≤ x ≤ 2

y=1

for

2 ≤ x ≤ 3

Solution:

Put value and verify
(i)

y=2 x+4

is true in

-3 ≤ x ≤-1

On putting

\;\; x=-2, y=-2 \;\;

and

x=-2, y=0

and

x=1, y=2

(ii)

y=|x-1|

is also true

(x=-1, y=2)

(x=0, y=1)

and

(x=1, y=0)

(iv)

y=1

(2 ≤ x ≤ 3)

always true
(i), (ii) and (iv) are true.

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