Given the function f(x,y)=6xy, answer the following questions. a.) Find the func

Question

Given the function f(x,y)=6xy, answer the following questions.

a.) Find the functions domain.

b.) Find the functions range.

c.) Describe the functions level curves.

d.) Find the boundary of the functions domain.

e.) Determine if the domain is a open region, a closed region, both, or neither.

f.) Decide if the domain is bounded or unbounded.

Given the function f(x,y)=6xy, answer the following questions. a.) Find the functions domain. b.) Find the functions range. c.) Describe the functions level curves. d.) Find the boundary of the functions domain. e.) Determine if the domain is a open region, a closed region, both, or neither. f.) Decide if the domain is bounded or unbounded. a. Choose the correct domain of the function f(x,y)=6xy. A. All points in the xy-plane except the origin B. All points in the xy-plane C. y > = 6x D. All points in the first quadrant b. Choose the correct range of the function f(x,y)= 6xy. A. AH integers B. All real numbers C. All non-negative real numbers D. All non-negative integers c. Choose the correct description(s) of the level curves of f(x,y=6xy. Select all that apply. A. Hyperbolas, when f(x,y) not equal to 0 B. Circles, when f(x,y) not equal to 0 C. The x- and y-axes, when f(x,y) =0 D. Straight lines, when f(x,y) not equal to 0 d. Does the functions domain have a boundary? Select the correct choice and if necessary, fill in the answer box below to complete your choice. A. Yes,at =0 (Type an expression using x and y as the variables.) B. Yes,at (Type an ordered pair. Use a comma to separate answers as needed.) C. No e. Choose the correct description of the domain of tx,y) 6xy. Neither open nor closed Closed region Open region Both open and closed f. Is the domain of f(x,y)= 6xy bounded or unbounded? Unbounded Bounded

Explanation / Answer

a) B

b) B

c) A

d) C (No)

e) open region

f) unbounded

f)

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