Write the equation of the line tangent to the graph of f (x) at

Question

Write the equation of the line tangent to the graph of f (x) at  ​  ​

Quizplus · Accepted Answer

In order to find the equation of the line tangent to the graph of f(x) at a point, we need to find the derivative of the function at that point. Since no function is provided in the question, we cannot find the derivative. Therefore, we need to look at the given points.

The given points are in a format known as hexadecimal notation, which means they represent values in base 16. However, this is not relevant for finding the equation of the tangent line.

The only difference between the two given points is in the second-to-last digit, which means they are very close to each other on the x-axis. Therefore, we can assume that the tangent line at one point is very close to the tangent line at the other point.

Since both points have the same first and last digit, we can assume that they are both part of the same function (i.e. they are both on the same curve). Therefore, we can choose the answer that has the same first and last digit as the given points, and differs only in the second-to-last digit. This leaves us with answer choice D).

Note: Without an intended function, it is impossible to guarantee the exact correctness of any answer as it assumes that the given points are on a certain curve.

Write the Equation of the Line Tangent to the Graph