Question

Write a simpler function that agrees with the given function at all but one point.

A) Linear function
B) Exponential function
C) Polynomial function
D) Trigonometric function

Answer 1

A simpler function that agrees with a given function at all but one point can be found by manipulating the original function to create a new function with the same behavior except at that specific point.

Step-by-step explanation:

A simpler function that agrees with a given function at all but one point can be found by manipulating the original function to create a new function with the same behavior except at that specific point.

For example, if the given function is f(x) = x + 2, a simpler function that agrees with it at all points except one can be g(x) = x + 3.

This new function is still a linear function, as it has the same slope as the original function, but is shifted up by one unit, resulting in a different value at that specific point.