Explanation Given : f ( t ) = { − t 2 − t + 2 if t < 1 3 − t if t ≥ 1 on [ − 2 , 3 ] The given function, f ( t ) = { − t 2 − t + 2 if t < 1 3 − t if t ≥ 1 First check the continuity of the function at t = 1 Now calculate the left hand limit L = lim x → 1 − ( − t 2 − t + 2 ) L = lim h → 0 ( − ( 1 − h ) 2 − ( 1 − h ) + 2 ) L = 0 Now calculate the right hand limit R =

6th Edition

ISBN: 9781465208880

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Chapter 4.1, Problem 32PS

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To find: The greatest value of f(t)={− t 2−t+2if t<13−tif t≥1 on [−2,3]

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Chapter 4.1, Problem 31PS

Chapter 4.1, Problem 33PS

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8:38 *** TEMU TEMU -3 -2 7 B 2 1 & 5G. 61% 1 2 -1 Based on the graph above, determine the amplitude, period, midline, and equation of the function. Use f(x) as the output. Amplitude: 2 Period: 2 Midline: 2 ☑ syntax error: this is not an equation. Function: f(x) = −2 cos(πx + 2.5π) +2× Question Help: Worked Example 1 ☑ Message instructor Submit Question ||| <

Chapter 4 Solutions

Calculus

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The greatest value of f ( t ) = { − t 2 − t + 2 if t < 1 3 − t if t ≥ 1 on [ − 2 , 3 ]

Solution Summary: The author explains the value of f(t)=cc

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To find: The greatest value of f(t)={− t 2−t+2if t<13−tif t≥1 on [−2,3]

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Chapter 4 Solutions

The greatest value of f ( t ) = { − t 2 − t + 2 if t &lt; 1 3 − t if t ≥ 1 on [ − 2 , 3 ]

Solution Summary: The author explains the value of f(t)=cc

Concept explainers

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To find: The greatest value of f(t)={− t 2−t+2if t<13−tif t≥1 on [−2,3]

Want to see the full answer?

Chapter 4 Solutions

The greatest value of f ( t ) = { − t 2 − t + 2 if t < 1 3 − t if t ≥ 1 on [ − 2 , 3 ]