End behavior of polynomials: leading coefficient and degree
End behavior of polynomials: leading coefficient and degree
7:28
About this lesson
Investigating the Graphs of Polynomial Functions
Recognize the characteristics of polynomial graphs from the following quadratic and cubic functions:
i) \(\)\(\)\(P\left( x \right) = {x^2} - 3x - 10\)
ii) \(\)\(\)\(P\left( x \right) = - {x^2} + 3x + 10\)
iii) \(\)\(\)\(P\left( x \right) = {x^3} - 3{x^2} - 10x\)
iv) \(\)\(\)\(P\left( x \right) = - {x^3} + 3{x^2} + 10x\)
Recognize the characteristics of polynomial graphs from the following quadratic and cubic functions:
i) \(\)\(\)\(P\left( x \right) = {x^2} - 3x - 10\)
ii) \(\)\(\)\(P\left( x \right) = - {x^2} + 3x + 10\)
iii) \(\)\(\)\(P\left( x \right) = {x^3} - 3{x^2} - 10x\)
iv) \(\)\(\)\(P\left( x \right) = - {x^3} + 3{x^2} + 10x\)
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Video 1 of 6
End behavior of polynomials: leading coefficient and degree
7 min
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6 min
Sketching a degree-5 polynomial with five x-intercepts
5 min
Factoring a quadratic to sketch its polynomial graph
4 min
Graphing a cubic polynomial by factoring and end behavior
3 min
Identifying a quartic graph with a negative leading coefficient
2 min