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If for all real numbers and , then

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The ACT Mathematics Test contains 60 questions to be answered in 60 minutes.  The hardest ACT math questions (the last 10 to 15 questions) fall into two types: advanced concepts and complex questions. Advanced concepts questions cover what you learn in precalculus and trigonometry. FYI: Students that get into Harvard College have an ACT score of 34–36.

If <img alt='images' src='https://www.fatskills.com/images2/ACT/eq02541.png'/><!--<m:math display='inline' overflow='scroll' xmlns:m='http://www.w3.org/1998/Math/MathML'><m:mrow><m:mi>f</m:mi><m:mfenced open='(' close=')'><m:mrow><m:mi>x</m:mi></m:mrow></m:mfenced><m:mo>=</m:mo><m:mi>a</m:mi><m:msup><m:mrow><m:mi>x</m:mi></m:mrow><m:mrow><m:mn>2</m:mn></m:mrow></m:msup><m:mo>+</m:mo><m:mi>b</m:mi><m:mi>x</m:mi><m:mo>+</m:mo><m:mi>c</m:mi></m:mrow></m:math>--> for all real numbers <em x</em> and if <img alt='images' src='https://www.fatskills.com/images2/ACT/eq02542.png'/><!--<m:math display='inline' overflow='scroll' xmlns:m='http://www.w3.org/1998/Math/MathML'><m:mrow><m:mi>f</m:mi><m:mfenced open='(' close=')'><m:mrow><m:mn>0</m:mn></m:mrow></m:mfenced><m:mo>=</m:mo><m:mn>2</m:mn></m:mrow></m:math>--> and <img alt='images' src='https://www.fatskills.com/images2/ACT/eq02543.png'/><!--<m:math display='inline' overflow='scroll' xmlns:m='http://www.w3.org/1998/Math/MathML'><m:mrow><m:mi>f</m:mi><m:mfenced open='(' close=')'><m:mrow><m:mn>1</m:mn></m:mrow></m:mfenced><m:mo>=</m:mo><m:mn>5</m:mn></m:mrow></m:math>-->, then <img alt='images' src='https://www.fatskills.com/images2/ACT/eq02544.png'/><!--<m:math display='inline' overflow='scroll' xmlns:m='http://www.w3.org/1998/Math/MathML'><m:mrow><m:mi>a</m:mi><m:mo>+</m:mo><m:mi>b</m:mi><m:mo>=</m:mo></m:mrow></m:math>-->





 
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