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 gl 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?