MORE ON PIECEWISE FUNCTIONS In small groups: 1. The normal length Lof a giant earthworm (measure in cm) is approximately a function of its age, t (measured in weeks). This function can be represented by the following piecewise function rule: if0

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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MORE ON PIECEWISE FUNCTIONS
In small groups:
1. The normal length Lof a giant earthworm (measure in cm) is approximately a function of its age,
t (measured in weeks). This function can be represented by the following piecewise function
rule:
if0 <ts4
if 4 <t<6
if 6 sts 10)
1.5t
L(t) =
0.5t + 4
a) What is the normal length of a giant earthworm that is 4 weeks old? Express this information
using function notation.
b) Evaluate L(8) and interpret this value in the context of this problem.
c) What is the domain of L?
d) What does this domain tell you about the normal life span of a giantearthworm?
e) Graph the function. Be sure to appropriately label your axes.
Transcribed Image Text:MORE ON PIECEWISE FUNCTIONS In small groups: 1. The normal length Lof a giant earthworm (measure in cm) is approximately a function of its age, t (measured in weeks). This function can be represented by the following piecewise function rule: if0 <ts4 if 4 <t<6 if 6 sts 10) 1.5t L(t) = 0.5t + 4 a) What is the normal length of a giant earthworm that is 4 weeks old? Express this information using function notation. b) Evaluate L(8) and interpret this value in the context of this problem. c) What is the domain of L? d) What does this domain tell you about the normal life span of a giantearthworm? e) Graph the function. Be sure to appropriately label your axes.
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