Question

Consider an operation M( f(x), l) where f(x) is any function and l is any straight line.M( f(x), I) implies that f(x) is
transformed to g(x) such that g(x) = | h(x) | where h(x) is reflection of f(x) w.r.t. to line l.

(I) f(x) = IxI, line l is y = 2. Find the number of points at which M (f(x),1) touches X-axis.
a) 2
b) 3
c) 1
d) 0

(II) f(x) = x, line l1 is y = -2 and line I2 is x = 1. Then which of the following is true for M (M(f(x), l2), l1).

a) It intersects X-axis at 3 points
b) It intersects Y-axis at 2 points.
c) It has a minimum value of 4.
d) It has a maximum value of 4.​

Answer 1

Answer:

ANSWER

SOLUTION

and

(i)

for second curve

(ii)

for second curve

(iii)

From eq (1) and (2)