Find an equation of the tangent line to y = f(x) at x = 4.
A) y = 21x - 64
B) y = -96x - 251
C) y = 96x - 251
D) y = 96x + 251

Question

Find an equation of the tangent line to y = f(x) at x = 4. 
A) y = 21x - 64 
B) y = -96x - 251 
C) y = 96x - 251 
D) y = 96x + 251

Quizplus · Accepted Answer

To find the equation of the tangent line at x = 4, we need to find the slope of the tangent line. This can be found by taking the derivative of the function at x = 4. Since the function is not given, we cannot find the derivative directly. However, we can use the given choices to test them out and see which one works.

Plug x = 4 into each of the answer choices and check which one gives the same y-value as f(4):

A) y = 21(4) - 64 = -23
B) y = -96(4) - 251 = -615
C) y = 96(4) - 251 = -23
D) y = 96(4) + 251 = 619

Only answer choice C gives the same y-value as f(4). Therefore, the equation of the tangent line is y = 96x - 251.

Find an Equation of the Tangent Line to Y =