For the given function, complete parts (a) through (f) below. f(x,y) = 25x2 + 9y2 (a) Find the function's domain. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The domain is all points (x,y) satisfying (Simplify your answer. Type an inequality.) B. The domain is the entire xy-plane. (b) Find the function's range. Select the correct choice below and, if necessary, fill in the answer box to complete your cho O A. The range is (Type your answer in interval notation.) B. The range is all real numbers. (c) Describe the function's level curves. Choose the correct answer below. O A. The level curves are parabolas of the form y = cx2. B. The level curves are circles centered at the origin. OC. For f(x,y) = 0, the level curve is the origin. For f(x,y) 0, the level curves are ellipses centered at the origin and ma and minor axes along the x- and y-axes, respectively. D. For f(x,y) = 0, the level curve is the x- and y-axes. For f(x,y) 0, the level curves are hyperbolas with the x- and y-axes as asymptotes.
For the given function, complete parts (a) through (f) below. f(x,y) = 25x2 + 9y2 (a) Find the function's domain. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The domain is all points (x,y) satisfying (Simplify your answer. Type an inequality.) B. The domain is the entire xy-plane. (b) Find the function's range. Select the correct choice below and, if necessary, fill in the answer box to complete your cho O A. The range is (Type your answer in interval notation.) B. The range is all real numbers. (c) Describe the function's level curves. Choose the correct answer below. O A. The level curves are parabolas of the form y = cx2. B. The level curves are circles centered at the origin. OC. For f(x,y) = 0, the level curve is the origin. For f(x,y) 0, the level curves are ellipses centered at the origin and ma and minor axes along the x- and y-axes, respectively. D. For f(x,y) = 0, the level curve is the x- and y-axes. For f(x,y) 0, the level curves are hyperbolas with the x- and y-axes as asymptotes.
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter2: Solving Linear Inequalities
Section: Chapter Questions
Problem 1CA
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Transcribed Image Text:(d) Find the boundary of the function's domain. Select the correct choice below and, if necessary, fill in the answer box to
complete your choice.
O A. The boundary is
(Simplify your answer. Type an equation.)
B. There are no boundary points.
(e) Determine if the domain is an open region, a closed region, or neither. Choose the correct answer below.
O A. The domain is both open and closed.
B. The domain is neither open nor closed.
C. The domain is only closed.
(f) Decide if the domain is bounded or unbounded. Choose the correct answer below.
O A. The domain is unbounded.
B. The domain is bounded.
Transcribed Image Text:For the given function, complete parts (a) through (f) below.
f(x,y) = 25x2 + 9y2
(a) Find the function's domain. Select the correct choice below and, if necessary, fill in the answer box to complete your
choice.
O A. The domain is all points (x,y) satisfying
(Simplify your answer. Type an inequality.)
B. The domain is the entire xy-plane.
(b) Find the function's range. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The range is
(Type your answer in interval notation.)
B. The range is all real numbers.
(c) Describe the function's level curves. Choose the correct answer below.
O A. The level curves are parabolas of the form y = cx2.
B. The level curves are circles centered at the origin.
OC. For f(x,y) = 0, the level curve is the origin. For f(x,y) 0, the level curves are ellipses centered at the origin and major
and minor axes along the x- and y-axes, respectively.
D. For f(x,y) = 0, the level curve is the x- and y-axes. For f(x,y) 0, the level curves are hyperbolas with the x- and
y-axes as asymptotes.
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