{"introPage":{"showIntroPage":false,"startButtonText":"Start Quiz","introduction":""},"progressType":"dots","passPercentage":50,"questions":[{"params":{"media":{"disableImageZooming":false},"answers":[{"correct":true,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""},"text":"

-49<\/div>\n"},{"correct":false,"tipsAndFeedback":{"tip":"","chosenFeedback":"

Consider the following solution:<\/div>\n\n

$$ f\\left( 4 \\right) = 3 - 5\\left( 4 \\right) - 2{\\left( 4 \\right)^2} $$<\/div>\n","notChosenFeedback":""},"text":"

49<\/div>\n"},{"correct":false,"tipsAndFeedback":{"tip":"","chosenFeedback":"

Consider the following solution:<\/div>\n\n

$$ f\\left( 4 \\right) = 3 - 5\\left( 4 \\right) - 2{\\left( 4 \\right)^2} $$<\/div>\n<\/div>\n","notChosenFeedback":""},"text":"

29<\/div>\n"},{"correct":false,"tipsAndFeedback":{"tip":"","chosenFeedback":"

Consider the following solution:<\/div>\n\n

$$ f\\left( 4 \\right) = 3 - 5\\left( 4 \\right) - 2{\\left( 4 \\right)^2} $$<\/div>\n<\/div>\n","notChosenFeedback":""},"text":"

-29<\/div>\n"}],"overallFeedback":[{"from":0,"to":100}],"behaviour":{"enableRetry":true,"enableSolutionsButton":true,"enableCheckButton":true,"type":"auto","singlePoint":false,"randomAnswers":true,"showSolutionsRequiresInput":true,"confirmCheckDialog":false,"confirmRetryDialog":false,"autoCheck":false,"passPercentage":100,"showScorePoints":true},"UI":{"checkAnswerButton":"Check","showSolutionButton":"Show solution","tryAgainButton":"Retry","tipsLabel":"Show tip","scoreBarLabel":"You got :num out of :total points","tipAvailable":"Tip available","feedbackAvailable":"Feedback available","readFeedback":"Read feedback","wrongAnswer":"Wrong answer","correctAnswer":"Correct answer","shouldCheck":"Should have been checked","shouldNotCheck":"Should not have been checked","noInput":"Please answer before viewing the solution"},"confirmCheck":{"header":"Finish ?","body":"Are you sure you wish to finish ?","cancelLabel":"Cancel","confirmLabel":"Finish"},"confirmRetry":{"header":"Retry ?","body":"Are you sure you wish to retry ?","cancelLabel":"Cancel","confirmLabel":"Confirm"},"question":"

Evaluate the following function given \$f(4)\$:<\/p>\n\n

$$ f\\left( x \\right) = 3 - 5x - 2{x^2} $$<\/p>\n"},"library":"H5P.MultiChoice 1.16","metadata":{"contentType":"Multiple Choice","license":"U","title":"Calculus - Functions - Practice Problem 1"},"subContentId":"09284415-d4e9-4bbf-b466-a5c2c55c6628"},{"params":{"media":{"disableImageZooming":false},"answers":[{"correct":true,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""},"text":"

\$- 99 + 29t - 2{t^2}\$<\/div>\n"},{"correct":false,"tipsAndFeedback":{"tip":"","chosenFeedback":"

Consider the following solution:<\/div>\n\n

$$ \\begin{align*}f\\left( {6 - t} \\right) & = 3 - 5\\left( {6 - t} \\right) - 2{\\left( {6 - t} \\right)^2}\\\\ & = 3 - 5\\left( {6 - t} \\right) - 2\\left( {36 - 12t + {t^2}} \\right)\\\\ & = 3 - 30 + 5t - 72 + 24t - 2{t^2}\\end{align*}$$<\/div>\n","notChosenFeedback":""},"text":"

\$- 99 - 29t - 2{t^2}\$<\/div>\n"},{"correct":false,"tipsAndFeedback":{"tip":"","chosenFeedback":"

Consider the following solution:<\/div>\n\n

\$- 99 - 29t\$<\/div>\n"},{"correct":false,"tipsAndFeedback":{"tip":"","chosenFeedback":"

Consider the following solution:<\/div>\n\n

\$- 99 - 2{t^2}\$<\/div>\n"}],"overallFeedback":[{"from":0,"to":100}],"behaviour":{"enableRetry":true,"enableSolutionsButton":true,"enableCheckButton":true,"type":"auto","singlePoint":false,"randomAnswers":true,"showSolutionsRequiresInput":true,"confirmCheckDialog":false,"confirmRetryDialog":false,"autoCheck":false,"passPercentage":100,"showScorePoints":true},"UI":{"checkAnswerButton":"Check","showSolutionButton":"Show solution","tryAgainButton":"Retry","tipsLabel":"Show tip","scoreBarLabel":"You got :num out of :total points","tipAvailable":"Tip available","feedbackAvailable":"Feedback available","readFeedback":"Read feedback","wrongAnswer":"Wrong answer","correctAnswer":"Correct answer","shouldCheck":"Should have been checked","shouldNotCheck":"Should not have been checked","noInput":"Please answer before viewing the solution"},"confirmCheck":{"header":"Finish ?","body":"Are you sure you wish to finish ?","cancelLabel":"Cancel","confirmLabel":"Finish"},"confirmRetry":{"header":"Retry ?","body":"Are you sure you wish to retry ?","cancelLabel":"Cancel","confirmLabel":"Confirm"},"question":"

Evaluate the following function given \$f(6 - t)\$:<\/p>\n\n

$$ f\\left( x \\right) = 3 - 5x - 2{x^2} $$<\/p>\n"},"library":"H5P.MultiChoice 1.16","metadata":{"contentType":"Multiple Choice","license":"U","title":"Calculus - Functions - Practice Problem 2"},"subContentId":"cb579d82-11d4-44fc-b03a-9fdd1adfa448"},{"params":{"media":{"disableImageZooming":false},"text":"

The difference quotient<\/strong> of a function \$f(x)\$ is defined to be,<\/p>\n\n

$$\\frac{{f\\left( {x + h} \\right) - f\\left( x \\right)}}{h}$$<\/p>\n\n

compute the difference quotient for \$f(x)=4x\u22129\$<\/p>\n","overallFeedback":[{"from":0,"to":100}],"showSolutions":"Show solution","tryAgain":"Retry","checkAnswer":"Check","notFilledOut":"Please fill in all blanks to view solution","answerIsCorrect":"':ans' is correct","answerIsWrong":"':ans' is wrong","answeredCorrectly":"Answered correctly","answeredIncorrectly":"Answered incorrectly","solutionLabel":"Correct answer:","inputLabel":"Blank input @num of @total","inputHasTipLabel":"Tip available","tipLabel":"Tip","behaviour":{"enableRetry":true,"enableSolutionsButton":true,"enableCheckButton":true,"autoCheck":false,"caseSensitive":true,"showSolutionsRequiresInput":true,"separateLines":false,"confirmCheckDialog":false,"confirmRetryDialog":false,"acceptSpellingErrors":false},"scoreBarLabel":"You got :num out of :total points","confirmCheck":{"header":"Finish ?","body":"Are you sure you wish to finish ?","cancelLabel":"Cancel","confirmLabel":"Finish"},"confirmRetry":{"header":"Retry ?","body":"Are you sure you wish to retry ?","cancelLabel":"Cancel","confirmLabel":"Confirm"},"questions":["

Step 1:<\/strong><\/p>\n\n

\$ f\\left( {x + h} \\right) =\$ *4(x + h) - 9* \$= 4x + 4h - 9\$<\/p>\n","

Step 2:<\/strong><\/p>\n\n

\$ f\\left( {x + h} \\right) - f\\left( x \\right) =\$ *4x + 4h - 9 - (4x - 9)* \$= 4h \$<\/p>\n","

Step 3:<\/strong><\/p>\n\n

\$\\frac{{f\\left( {x + h} \\right) - f\\left( x \\right)}}{h} = \\frac{{4h}}{h} =\$ *4*<\/p>\n"]},"library":"H5P.Blanks 1.14","metadata":{"contentType":"Fill in the Blanks","license":"U","title":"Calculus - Functions - Practice Problem 1"},"subContentId":"40f5b236-eecf-4fec-bc08-c78733e4ede2"}],"disableBackwardsNavigation":false,"randomQuestions":false,"endGame":{"showResultPage":true,"showSolutionButton":true,"showRetryButton":true,"noResultMessage":"Finished","message":"Your result:","overallFeedback":[{"from":0,"to":100}],"solutionButtonText":"Show solution","retryButtonText":"Retry","finishButtonText":"Finish","showAnimations":false,"skippable":false,"skipButtonText":"Skip video"},"override":{"checkButton":true,"retryButton":"on"},"texts":{"prevButton":"Previous question","nextButton":"Next question","finishButton":"Finish","textualProgress":"Question: @current of @total questions","jumpToQuestion":"Question %d of %total","questionLabel":"Question","readSpeakerProgress":"Question @current of @total","unansweredText":"Unanswered","answeredText":"Answered","currentQuestionText":"Current question"}}

Calculus Quiz v1

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