Provide an appropriate response.Use a calculator to graph the function f to see whether it appears to have a continuous extension to the origin. If it does, use Trace and Zoom to find a good candidate for the extended function's value at x = 0. If the function does not appear to have a continuous extension, can it be extended to be continuous at the origin from the right or from the left? If so, what do you think the extended function's value(s) should be? f(x) = 
A. continuous extension exists at origin; f(0) = 8
B. continuous extension exists at origin; f(0) = 0
C. continuous extension exists from the right; f(0) = 1
continuous extension exists from the left; f(0) = -1
D. continuous extension exists from the right; f(0) = 8
continuous extension exists from the left; f(0) = -8
Answer: D
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