Explanation Given information: The function: f ( x ) = { c x 2 + 2 x if x < 2 x 3 − c x if x ≥ 2 Calculation: The function is defined piecewise. It is continuous on ( − ∞ , 2 ) and ( 2 , ∞ ) because it’s polynomial on these intervals. For the function to be continuous on ( − ∞ , ∞ ) we need to make it continuous at x = 2 and for that we need the condition on f to be lim x → 2 − f ( x ) = f ( 2 ) = lim x → 2 + f ( x ) We have lim x → 2 − f ( x ) = lim x → 2 −

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Chapter 2.5, Problem 37E

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To find: value of the constant c for which f is continuous on (−∞,∞) .

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Chapter 2.5, Problem 36E

Chapter 2.5, Problem 38E

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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 2 Solutions

Biocalculus: Calculus For Life Sciences

Ch. 2.1 - Prob. 1E Ch. 2.1 - Prob. 2E Ch. 2.1 - Prob. 3E Ch. 2.1 - Prob. 4E Ch. 2.1 - Prob. 5E Ch. 2.1 - Prob. 6E Ch. 2.1 - Prob. 7E Ch. 2.1 - Prob. 8E Ch. 2.1 - Prob. 9E Ch. 2.1 - Prob. 10E

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value of the constant c for which f is continuous on ( − ∞ , ∞ ) .

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Chapter 2 Solutions