Enter y 1 x, y 2 1 x and y 3 y 1 y 2 on your grapher (a) Graph y 3 in 3, 3 by 1, 3 (b) Compare the domain of the graph of y 3 with the domains of the graphs of y 1 and y 2 (c) Replace y 3 by in turn, and repeat the comparison of part (b) (d) Based on your observations in (b) and (c), what would you conjecture about the domains of sums, differences, products, and quotients of functions Y 2 2 32 1 2 and 2

Question: Enter y 1 = x, y 2 = 1 - x and y 3 = y 1 + y 2 on your grapher. (a) Graph

Enter y₁= √x, y₂ = √1 - x and y₃ = y₁ + y₂ on your grapher.
(a) Graph y₃ in [-3, 3] by [-1, 3].
(b) Compare the domain of the graph of y₃with the domains of the graphs of y₁ and y₂.
(c) Replace y₃ by

in turn, and repeat the comparison of part (b).
(d) Based on your observations in (b) and (c), what would you conjecture about the domains of sums, differences, products, and quotients of functions?

Y-2 2- 32 1/2 and 2/

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