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Identifying even and odd functions

Symmetry (y-axis, x-axis, origin)

Using symmetry to identify even or odd functions

Identifying a polynomial function

Determine degree of polynomial

Determine whether graph represents a polynomial function

Leading coefficient test for end behavior

Multiplicity and zero’s

Intermediate value theorem

Determining symmetry algebraically and graphically

Graphing polynomial functions

Determine zero’s and multiplicity from graphs

Long division of polynomials

Synthetic division of polynomials

The remainder theorem

The Factor Theorem

Given one factor of a polynomial, find the remaining factors

Using a graphing calculator to find the zeros and factors of a polynomial function

Using tables to find zeros of polynomials

Solve non general trinomial polynomials by factoring

Solve equations that are quadratic in form x^4+x^2-25=0 using substitution

Solving polynomial functions using a graphing calculator

Rational Zero Theorem

Use list of rational zero theorem to find zeros of polynomial function

Linear Factorization theorem

Fundamental theorem of algebra

write an polynomial function given the zero’s and a point on the graph of the polynomial

Solving radical equations containing nth roots

Solving radical equations containing rational exponents

Applications involving radicals

Transformations of square root and cube root functions

Reflections of functions

Find the inverse of a function

Verify two functions are inverses using the inverse composition rule

Math XL problems to review CU 4 and 5: Polynomial and Radical Functions

Symmetry (y-axis, x-axis, origin)

Using symmetry to identify even or odd functions

Identifying a polynomial function

Determine degree of polynomial

Determine whether graph represents a polynomial function

Leading coefficient test for end behavior

Multiplicity and zero’s

Intermediate value theorem

Determining symmetry algebraically and graphically

Graphing polynomial functions

Determine zero’s and multiplicity from graphs

Long division of polynomials

Synthetic division of polynomials

The remainder theorem

The Factor Theorem

Given one factor of a polynomial, find the remaining factors

Using a graphing calculator to find the zeros and factors of a polynomial function

Using tables to find zeros of polynomials

Solve non general trinomial polynomials by factoring

Solve equations that are quadratic in form x^4+x^2-25=0 using substitution

Solving polynomial functions using a graphing calculator

Rational Zero Theorem

Use list of rational zero theorem to find zeros of polynomial function

Linear Factorization theorem

Fundamental theorem of algebra

write an polynomial function given the zero’s and a point on the graph of the polynomial

Solving radical equations containing nth roots

Solving radical equations containing rational exponents

Applications involving radicals

Transformations of square root and cube root functions

Reflections of functions

Find the inverse of a function

Verify two functions are inverses using the inverse composition rule

Math XL problems to review CU 4 and 5: Polynomial and Radical Functions

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Teaching Duration

1 hour

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