Consider the function on the interval

MATHEMATICS · Subjective · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Consider the function

g(x)=x^{2}+kx-3

on the interval

[1,4]

, where

k

is a real parameter. Determine all real values of

k

for which there exists a number

c

[1,4]

satisfying

g(c)=0