Reference no: EM13851166

The graphs of two functions f(x) and g(x) are shown below. These two functions have the following property: For any value of x, the line tangent to the graph of

f at the point (x, f(x)) has the same slope as the line tangent to the graph of

g at the point (x, g(x)). The figure demonstrates this for x = 1 as an example. Which of the following statements is true?

A) For all values of x, f(x). g(z).

_b) For x = 1, we have f(1) = g(1). To say anything about f(x) and g(x) for other values of x more information would be needed.

c) The functions 7 and g^l are equal.

D) For x = 1, we have /(1) = d(1). To say anything about 7(x) and d(x) for other values of x more information would be needed.

E) For all values of x, g'(x) + 7(x) + 4.

The graphs of two functions f(x) and g(x) are shown below. These two functions have the following property: For any value of x, the line tangent to the graph of

f at the point (x, f(x)) has the same slope as the line tangent to the graph of

g at the point (x, g(x)). The figure demonstrates this for x = 1 as an example. Which of the following statements is true?