Determine if the function below is continuous. A. continuous B. not continuous at x = 0 C. not continuous at x = 5 D. not continuous x = -2 Reset Selection
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To determine if a function is continuous, we need to check if it satisfies three conditions: Show more…
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Determine Whether a Piecewise Function Is Continuous Question Use the definition of continuity to decide if the following function is continuous at x = -1. f(x) = -1.0x^2 + 5.0 if x < -1 5 if x = -1 2x^2 + 2x + 5 if x > -1 Select the correct answer below: The function is continuous at x = -1. The function is not continuous at x = -1 because the limit at -1 does not exist. The function is not continuous at x = -1 because the limit at -1 does not equal f(-1).
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Determine Whether a Piecewise Function Is Continuous Question Use the definition of continuity to decide if the following function is continuous at x = -3. f(x) = x + 3 if x < -3 -1 if x = -3 -0.5x^2 - 1.0x + 2.5 if x > -3 Select the correct answer below: The function is continuous at x = -3. The function is not continuous at x = -3 because the limit at -3 does not exist. The function is not continuous at x = -3 because the limit at -3 does not equal f(-3).
Determine whether the given function is continuous at the specified location, if it is not continuous explain why. a.) f(x) = {x^2 + 3x - 1, x ≤ 2; 4x + 1, x > 2} at x = 2 b.) f(x) = {(x^2 - 9)/(x + 3), x ≠ -3; 4, x = -3} at x = -3
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