Answer the questions on the basis of the information given below.
f1 (x) === x for 0 is less than or equal to x is less than or equal to 1
= 1 for x is greater than or equal to 1
= 0 Otherwise
f2 (x) = f1 (- x) For all x
f3 (x) = -f2 ( x) For all x
f4 (x) = f3 (- x) For all xAnswer the questions on the basis of the information given
below.
f1 (x) === x 0 is less than or equal to x is less than or equal to 1
= 1 x is greater than or equal to 1
= 0 Otherwise
f2 (x) = f1 (- x) For all x
f3 (x) = -f2 ( x) For all x
f4 (x) = f3 (- x) For all x
How many of the following products are necessarily zero for every x: f1 (x) f 2 (x), f2 (x) f3 (x), f2 (x) f4 (x)