Analyze the function f(x) = O No if x < 4 A +15 if z>4 Part 1: Is f(z) continuous at z = 4? Explain why or why not Yes z

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Analyze The Function F X O No If X 4 A 15 If Z 4 Part 1 Is F Z Continuous At Z 4 Explain Why Or Why Not Yes Z 1 (21.8 KiB) Viewed 32 times

Explain your process for determining whether the function iscontinuous and differentiable at the identified point
Analyze the function f(x) = O No if x < 4 A +15 if z>4 Part 1: Is f(z) continuous at z = 4? Explain why or why not Yes z+17 Hint: In order for f(z) to be continuous at x = 4, the limits of f(z) from the left and from the right must both exist and be equal to f (4). No Part 2: Is f(z) differentiable at z = 4? Explain why or why not Yes Hint: Similarly to continuity, in order for f(z) to be differentiable at x = 4, f(z) must be continuous at z = 4 and the limits of the difference quotient f(4+h)-f(4) h from the left and from the right must both exist and be equal to each other.