Provide an appropriate response.What are four ways that a function may fail to be differentiable at a point?
A. The function is not defined at the point; the function is discontinuous at the point; the function has a limit at the point; the function has a vertical tangent at the point.
B. The function is not defined at the point; the function is discontinuous at the point; the function has a corner or similar sharp change in direction at the point; the function has a vertical tangent at the point.
C. The function is not defined at the point; the function is discontinuous at the point; the function has a corner or similar sharp change in direction at the point; the function has a horizontal tangent at the point.
D. The function is not defined at the point; the function is discontinuous at the point; the function has a peak or a valley at the point; the function has a vertical tangent at the point.
Answer: B
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Provide an appropriate response.Suppose Newton's Method is used with an initial guess xo that lies at a critical point 
What happens to x1 and later approximations? Give reasons for your answer.
What will be an ideal response?
Write the ratio in lowest terms.55 meters to 75 meters
A. 
B. 
C. 
D. 
Match the function with its graph.1) y = 2 + sin x 2) y = 2 + cos x3) y = -2 + sin x 4) y = -2 + cos xA) B)
C) D)
A. 1A, 2D, 3C, 4B B. 1A, 2B, 3C, 4D C. 1A, 2C, 3D, 4B D. 1B, 2D, 3C, 4A
Provide an appropriate response.Solve the equation 
for x. If y is positive and b is positive, what, if anything, can you determine about the signs of the solutions? Explain your reasoning.
What will be an ideal response?