Lesson 6 - 2.3 #10
Investigation of
(a) Graph of both functions: (not the same)
(b) Comparing table of values
(c) because graphs overlap and they share the same piecewise functions: (d) Graphing |
Lesson 6 - 2.3 #11
Investigation of
(a) Graph the function (undefined at x = 0)
(b) Table agrees with observations in graph
(c) Domain is all x except x = 0. The range is -1 and 1
(d) the claim that u(x) = 0 when x = 0 is false since the function is undefined at x = 0. |
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Lesson 6 - 2.3 #14 Piecewise
word problem; 2 linear functions:
(a) (minimum area is 0 and maximum is given has 150)
(cost change to new formula after 150 sq. ft and maximum area given has 1000) (b) Graph and Domain and Range
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Lesson 6 - 2.3 # 16 Supermarket
refund policy (a piecewise functions): refund, y as a function of
difference between scanner and price, x).
(a) The smallest difference, the smaller the refund: Is $0.01 (not 0.0) refund is $1.00 + $0.01 = $1.01
(b) Piecewise function is: (1) (2) (3)
(c) Find x when y = $9.00 - Only equation (3) can give a refund value high enough, so solve: |