{"question":{"question":{"content":"Let $f(x)=x^3+3x^2-9x+7$. **On which intervals is $f$ increasing?** [[☃ radio 1]] ","images":{},"widgets":{"radio 1":{"type":"radio","alignment":"default","static":false,"graded":true,"options":{"choices":[{"content":"$-31$ only","correct":false},{"isNoneOfTheAbove":false,"content":"$x<-3$ and $x>1$","correct":true},{"isNoneOfTheAbove":false,"content":"$x<-3$ and $-30$ | $f$ is increasing. $\nearrow$ $-31$ | $x=2$ | $f'(2)=15>0$ | $f$ is increasing. $\nearrow$","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/2981cb0f0c54776b10bef0473c6dc7bba8b7fd89":{"width":460,"height":80}},"widgets":{}},{"replace":false,"content":"In conclusion, $f$ is increasing over the intervals $x<-3$ and $x>1$.","images":{},"widgets":{}}]},"problemId":39375,"exerciseId":3255,"exerciseSessionId":null,"hintsEnabled":false,"readOnly":false,"submitterId":null,"checkAnswerButtonText":"Check answer","correctButtonText":"🌟 Yes! You got it!","tryAgainButtonText":"Try again","problemAiConversationId":null}

Increasing & decreasing intervals

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