Literally Lost on Derivatives about to be a spam of questions but would love your help

Question

The line tangent to the graph of g(x)=x³-4x+1 at the point of (2,1) is given by the formula.

L(x)=8(x-2)=1

Which of these statements are true?

a. The functions have the same -intercept.

b. The functions are approximately equal on the interval 1.9 < x <2.1

c. The graphs intersect at the point (2,1).

d. The slope of the line equals g'(2)

e. The slope of the line equals g'(0)

f. The functions are approximately equal on the interval 0.5 < x <1.0

g. None of the above

Answer 1

The tangent line is y=8(x-2)+1 i.e. y=8x-15

The mean value theorem tells you that b is true.

By definition of the tangent c must be true.

d is also true; that is how you calculate the equation of the tangent line.

The others are not true.