Question

Find the x-coordinate of each point where the tangent line is vertical.

a) x = 0
b) x = 1
c) x = 2
d) x = -1"

Answer 1

The student is inquiring about the x-coordinates where a curve's tangent line is vertical. This generally requires finding where the derivative is undefined. Without the actual function or its derivative, we cannot answer which of the given x-values corresponds to vertical tangents.

The correct answer is B.

Step-by-step explanation:

The student is asking about finding the x-coordinate at which the tangent line to a curve is vertical. To find the points where the tangent line is vertical, we look at the derivative of the function representing the curve. At points where the tangent line is vertical, the slope of the tangent (derivative) is undefined, which typically occurs when the denominator of the derivative equals zero if the derivative can be expressed as a fraction.

In this particular question, however, specific values of x are given without the accompanying function: x = 0, x = 1, x = 2, x = -1. To answer the question accurately, the function or at least its derivative is necessary.