Approximate the area under the curve y = f(z) graphed below from z = 0 to z = 6 with 4 sub-intervals using left endpoints L4, midpoints Ma, and right endpoints R4. Round your answers to one decimal. (a) L4 %3D (b) M4 (c) R4

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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Approximate the area under the curve y = f(z) graphed below from z = 0 to z = 6 with 4 sub-intervals
using left endpoints L4, midpoints Ma, and right endpoints R4.
8-
4
4
Round your answers to one decimal.
(a) L4 =
(b) M4
(c) R4 =
(d) which answer best describes the approximate area under the curve of y = f(1) from I = 0 to z = 6
as computed above?
O since the function y = f(z) from z = 0 to z = 4 is decreasing the left endpoint rule will
overestimate the area whereas the right endpoint rule will underestimate the area.
O since the function y = f(z) from z = 0 to z = 4 is increasing the left endpoint rule will
overestimate the area whereas the right endpoint rule will underestimate the area.
O since the function y = f(z) from I = 0 to z = 4 is decreasing the left endpoint rule will
underestimate the area whereas the right endpoint rule will overestimate the area.
O since the function y = f(z) from z = 0 to z = 4 is increasing the left endpoint rule will
underestimate the area whereas the right endpoint rule will overestimate the area.
O The function is neither increasing or decreasing so in general we can't make a conclusion regarding
an overestimate or underestimate.
O The midooint rule should always be used to approximate area under the curve.
Transcribed Image Text:Approximate the area under the curve y = f(z) graphed below from z = 0 to z = 6 with 4 sub-intervals using left endpoints L4, midpoints Ma, and right endpoints R4. 8- 4 4 Round your answers to one decimal. (a) L4 = (b) M4 (c) R4 = (d) which answer best describes the approximate area under the curve of y = f(1) from I = 0 to z = 6 as computed above? O since the function y = f(z) from z = 0 to z = 4 is decreasing the left endpoint rule will overestimate the area whereas the right endpoint rule will underestimate the area. O since the function y = f(z) from z = 0 to z = 4 is increasing the left endpoint rule will overestimate the area whereas the right endpoint rule will underestimate the area. O since the function y = f(z) from I = 0 to z = 4 is decreasing the left endpoint rule will underestimate the area whereas the right endpoint rule will overestimate the area. O since the function y = f(z) from z = 0 to z = 4 is increasing the left endpoint rule will underestimate the area whereas the right endpoint rule will overestimate the area. O The function is neither increasing or decreasing so in general we can't make a conclusion regarding an overestimate or underestimate. O The midooint rule should always be used to approximate area under the curve.
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