Question

Q1-The curvature of a function 2 points
f(x) is zero. Which of the
following functions could be
f(x)?
O A) ax+b
O B) ax^2+bx+c
O C) sin(x)
D) cos(x)​

Answer 1

Answer:

A will be your answer.. it suggest a linear equation

Answer 2

The correct answer is option (A) ax+b.

Explanation:

• The curvature of a function 2 points f(x) is zero.
• The functions  which could be f(x) is ax+b.
• The expression for curvature is:
• k = ($\frac{f"(x)}{(1+(f'(x)^{2}) )}$ )3/2
• Given that, k = 0 we have
• f” (x) = 0
• f(x) = a + b.
• Therefore, the correct answer is ax+b.