{"question":{"question":{"content":"$g(x)=-x^4+6x^2-2x-3$. **On which intervals is the graph of $g$ concave down?** [[☃ radio 1]] ","images":{},"widgets":{"radio 1":{"type":"radio","alignment":"default","static":false,"graded":true,"options":{"choices":[{"content":"$x<-1$ and $x>1$","correct":true},{"correct":false,"content":"$x<-2$ and $x>2$"},{"isNoneOfTheAbove":false,"content":"$-20$ | $g$ is concave up $\cup$ $x>1$ | $x=2$ | $g''(2)=-36<0$ | $g$ is concave down $\cap$","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/f4c0647f54120cec1ee0543be8f73cee833eba1f":{"width":460,"height":80}},"widgets":{}},{"replace":false,"content":"In conclusion, the graph of $f$ is concave down over the intervals $x<-1$ and $x>1$.","images":{},"widgets":{}}]},"problemId":39563,"exerciseId":3266,"exerciseSessionId":null,"hintsEnabled":false,"readOnly":false,"submitterId":null,"checkAnswerButtonText":"Check answer","correctButtonText":"🌟 Yes! You got it!","tryAgainButtonText":"Try again","problemAiConversationId":null}

Analyze concavity (algebraic)

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