Original
Here we give the graph of a function defined on {{MATH_198}}.
{{CMD_199}}
{{ENV_200}}
{{COMMENT_201}}
{{COMMENT_202}}
{{CMD_203}}
Find the Intervals of Continuity for the function.
{{CMD_204}}
{{CMD_205}}{{MATH_206}}{{CMD_207}}
{{CMD_208}}{{MATH_209}} and {{MATH_210}}{{CMD_211}}
{{CMD_212}}{{MATH_213}}, {{MATH_214}}, and {{MATH_215}}{{CMD_216}}
{{CMD_217}}{{MATH_218}}, {{MATH_219}}, and {{MATH_220}}{{CMD_221}}
{{CMD_222}}{{MATH_223}}, {{MATH_224}}, and {{MATH_225}}{{CMD_226}}
{{CMD_227}}{{MATH_228}}, {{MATH_229}}, and {{MATH_230}}{{CMD_231}}
{{CMD_232}}{{MATH_233}}, {{MATH_234}}, and {{MATH_235}}{{CMD_236}}
{{CMD_237}}{{MATH_238}}, {{MATH_239}}, and {{MATH_240}}{{CMD_241}}
{{CMD_242}}
{{CMD_243}}
Notice that our function is left continuous at {{MATH_244}} so we can include
{{MATH_245}} in the interval {{MATH_246}}. Four is not included in the interval
{{MATH_247}} because our function is not right continuous at {{MATH_248}}.
Similarly, our function is neither right or left continuous at {{MATH_249}},
so {{MATH_250}} is not included in any intervals. Our function is left
continuous at {{MATH_251}} and right continuous at {{MATH_252}} so we included
these endpoints in our intervals.
{{CMD_253}}
{{CMD_254}}