F.4 functions

2009-10-15 6:21 am
For each of the following algebraic expressions, determine whether y is a function of x for x≧0. Explain briefly.

(a)

y=√ (2x - 1)


(b)
y=√ (3x + 1)


(c)
y^2 = 3x + 4

回答 (1)

2009-10-15 6:25 am
✔ 最佳答案
(a) y is not a function of x since when x < 1/2, it is not defined.
(b) y is a function of x since for all x >= 0, y is defined and also, one x value gives one y value.
(c) y is not a function of x since one x value may give two values of x, say when x = 0, y can be 2 or - 2 which is not allowed in function.
參考: Myself


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