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 y₃ with 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?

Transcribed Image Text:

Y₁-2 2-₁ ₁32 1/2 and 2/₁