Illustrative Math - Algebra 2 - Unit 2 - Lesson 11

What are the points of intersection between the graphs of the functions f(x)=x^{2}(x+1) and g(x)=x+1?

Tags

A.REI.4.a

A.REI.7

A.APR.3

A.REI.11

Select all the points of intersection between the graphs of the functions f(x)=(x+5)(x-2) and g(x)=(2x+1)(x-2).

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• {"blocks":[{"key":"0","text":"(-\\frac{1}{2},0)","type":"unstyled","depth":0,"inlineStyleRanges":[],"entityRanges":[{"offset":0,"length":16,"key":0}],"data":{}}],"entityMap":{"0":{"type":"MATH","mutability":"MUTABLE","data":{}}}}
• {"blocks":[{"key":"0","text":"(-2,-12)","type":"unstyled","depth":0,"inlineStyleRanges":[],"entityRanges":[{"offset":0,"length":8,"key":0}],"data":{}}],"entityMap":{"0":{"type":"MATH","mutability":"MUTABLE","data":{}}}}
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• {"blocks":[{"key":"0","text":"(4,18)","type":"unstyled","depth":0,"inlineStyleRanges":[],"entityRanges":[{"offset":0,"length":6,"key":0}],"data":{}}],"entityMap":{"0":{"type":"MATH","mutability":"MUTABLE","data":{}}}}

Tags

A.REI.4.a

A.REI.7

A.APR.3

A.REI.11

What are the solutions to the equation (x-3)(x+5)=-15?

Tags

A.REI.4.a

A.REI.7

A.APR.3

A.REI.11

Draw a rough sketch of the graph of g(x)=-x^{2}(x+2).

Tags

A.REI.4.a

A.REI.7

A.APR.3

A.REI.11