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Instructions
Directions for the following two questions:
Answer the questions on the basis of the information given below.
$$f_1(x) = x$$ if $$0 \leq x \leq 1$$ $$f_1(x) = 1$$ if x >= 1 $$f_1(x) = 0$$ otherwise
$$f_2(x) = f_1(-x)$$ for all x
$$f_3(x) = -f_2(x)$$ for all x
$$f_4(x) = f_3(-x)$$ for all x
Solution
Relation between f3 and f1 would be
$$f_3(x) = -f_1(-x)$$.
Put x= -x we get
$$f_3(-x) = -f_1(x)$$ so multiply by -1 we get
$$-f_3(-x) = f_1(x)$$.
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