Find k so there is no jump discontinuity in the function. f(x) = { x^2 + 3x + 2, x ≤ k 2x + 14, x > k

Answer 1

We want both branches of the function to be equal at the value k.

k^2 + 3k + 2 = 2k+14

k^2 + k -12 = 0

(k-3)(k+4) = 0.

Thus, for continuity, k can be -4 or 3.