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Calculus for Scientists and Engineers: Early Transcendental

Explain why or why not Determine whether the following statements are true and give an explanation or counterexample.

a. The domain of the function $f(x, y)=1-|x-y|$ is $\{(x, y): x \geq y\}.$

b. The domain of the function $Q=g(w, x, y, z)$ is a region in $\mathbb{R}^{3}$.

c. All level curves of the plane $z=2 x-3 y$ are lines.