1 Consider all rectangles with perimeter equa to 20 cm. Let the base of the rectangle be x cm and the height of the rectangle be у ст. a Complete the table with values for x and y. 6. 0.5 0.1 y b Find a model to express the height of the rectangle (y) in terms of its base (x). ci State the domain of the function defined in part b. ii State the range of the function defined in part b.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 14E
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Exercise 5M
1 Consider all rectangles with perimeter equal
to 20 cm. Let the base of the rectangle be
x cm and the height of the rectangle be
y cm.
a Complete the table with values for x and y.
6.
0.5 0.1
5
b Find a model to express the height of the
rectangle (y) in terms of its base (x).
i State the domain of the function
defined in part b.
ii State the range of the function defined
in part b.
d Sketch the function defined in part b.
State the rate of change of y with respect to
x, and interpret it in this context.
e
Transcribed Image Text:Exercise 5M 1 Consider all rectangles with perimeter equal to 20 cm. Let the base of the rectangle be x cm and the height of the rectangle be y cm. a Complete the table with values for x and y. 6. 0.5 0.1 5 b Find a model to express the height of the rectangle (y) in terms of its base (x). i State the domain of the function defined in part b. ii State the range of the function defined in part b. d Sketch the function defined in part b. State the rate of change of y with respect to x, and interpret it in this context. e
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