The discussion focuses on solving for constants A and B in a piecewise function defined as f(x) = ax + b for x > -1 and f(x) = bx^2 - 3 for x ≤ -1. The key objective is to ensure continuity at the point x = -1 by finding appropriate values for A and B. Participants emphasize the importance of calculating the limits from both sides of the function at x = -1 to establish continuity conditions.
PREREQUISITESStudents studying calculus, mathematics educators, and anyone interested in understanding piecewise functions and their continuity properties.
I don't think you provided all of the information in this problem. For example, aren't you supposed to find values for a and b so that f is continuous at x = -1?odmart01 said:Homework Statement
ax+b, x>-1
f(x)= bx^2-3, x less than equal to: -1
Homework Equations
the limits on both sides
The Attempt at a Solution
found the limit on both sides of the equation but don't know what to do next.
Mark44 said:I don't think you provided all of the information in this problem. For example, aren't you supposed to find values for a and b so that f is continuous at x = -1?