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Learn about even and odd functions, scale changes in equations, finding x-intercepts, expanding polynomials, and solving problems involving areas and factors.
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Even-Odd Functions • Which functions are even? Odd? Why?
Scale Changes • Write the equation for this scale change with parent function
What is the Scale Change? • Given parent function: • Use this equation:
What is the Scale Change? • Given parent function: • Use this equation:
How many distinct x=intercepts? What are the zeros of f(x)?
How many distinct x-intercepts are there? • What are the x-intercepts? • Expand (multiply) the polynomial.
Extras • Find the x-intercept to the nearest hundredth • Given the roots of a polynomial (6, -3, 1, 0) and the leading coefficient is 8 what is the product of factors?
Solve • Ben has a flower garden (10 x 12) and he wants to surround it with a grassy walkway. If he wants the total area of the garden and walkway to be 440 square feet, how wide does the walkway have to be?