Let the function of bu defined by (x +4₁ if x ≤-3 f(x) = 3 0.5x² - 2₁ if -34 x 41 1-(x-1)² + 2, if 1 ≤x≤3 -X+1₁ if x ²3 Sketch the graph of f(x). Find the x-value(s) at which f is not Continuous. For each such value, say Whether f is continuous from the left, from the Right, or neather.

Q: Find a function in general form with a vertex at (-1, -2) and passes through (3, 6). Hint: Start…

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Q: Sketch the graph off. At each point of discontinuity, state whether f is left- or right-continuous.

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Q: When is a function continuous over a closed interval?

A: A function is continuous over a closed interval when it is defined at all points in the interval…

Q: Let f be defined in an open interval that contains a=3 and assume that all x,…

A: f be defined in an open interval that contains a=3 and assume that all x,2x+6≤f(x)≤x2-4x+15

Q: Find the value(s) of a and b for which f is continuous at -2: 3x³ - 7x² + 7 if x -2 f(x)

A: To find the values of a and b for which f is continuous at -2.fx=3x3-7x2+7 if x<-2a+b if…

Q: Is the following function continuous at x = 2? Explain why or why not. x2 +x – 6 - :x > 2 f(x) = x –…

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Q: Let f be the function defined by ƒ (x) = x² − 12x³ + 48x² − 64x. Which interval is the graph of f…

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Q: Let f be defined as follows: x²-9 f(x) = x-3 k if x # 3 if x = 3 What value of k would make the…

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