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1. 2 Graphing Polynomials W- Substitutions Roots and Zeros Operations on Functions Inverse Functions 100 200 300 400 500.

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Presentation on theme: "1. 2 Graphing Polynomials W- Substitutions Roots and Zeros Operations on Functions Inverse Functions 100 200 300 400 500."— Presentation transcript:

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2 2 Graphing Polynomials W- Substitutions Roots and Zeros Operations on Functions Inverse Functions 100 200 300 400 500

3 3 Graphing Polynomials 100 Find the x and y-intercepts of the function P(x) = x 4 – 4x 2 – 5.

4 4 Graphing Polynomials 200 Find the x and y-intercepts of the function y = 2x 3 – 5x 2 + 3x.

5 5 Graphing Polynomials 300 Determine the end-behavior of the following polynomials: (a) y= -x 4 – 4x 2 + 4 (b) y = 2x 3 – x + 3

6 6 Graphing Polynomials 400 Graph the polynomial P(x) = x 3 – 3x 2 – 4x + 12. Label the intercepts.

7 7 Graphing Polynomials 500 Graph the polynomial P(x) = -x 3 – 3x 2 + 9x + 27. Label the intercepts.

8 8 W-Substitutions 100 Solve for x using quadratic substitution. Check.

9 9 W-Substitutions 200 Solve for x using quadratic substitution. Check. If you use the decimal version of the solution, round to three decimal places.

10 10 W-Substitutions 300 Solve for x using quadratic substitution. Check.

11 11 W-Substitutions 400 Solve for x using quadratic substitution. Check.

12 12 W-Substitutions 500 Solve for x using quadratic substitution. Check.

13 13 Roots and Zeros 100 Write the simplest polynomial with zeros 2, -3, and -2.

14 14 Roots and Zeros 200 Write the simplest polynomial with zeros i and.

15 15 Roots and Zeros 300 Use Descartes Rule of Signs to determine the possible number of positive, negative, and imaginary solutions of f(x) = x 5 – x 4 + 3x 3 + 9x 2 – x + 5.

16 16 Roots and Zeros 400 Use Descartes Rule of Signs to determine the possible number of positive, negative, and imaginary solutions of f(x) = x 5 + x 4 + 4x 3 + 3x 2 + x + 1.

17 17 Roots and Zeros 500 Write the simplest polynomial with zero 4 – i.

18 18 Operations on Functions 100 Use the functions f(x) = 2x – 1, g(x) = x 2, and to compute the following: (a) (fg)(-2) (b) (f+h)(4) (c) g(h(0))

19 19 Operations on Functions 200 Use the functions f(x) = 2x – 1, g(x) = x 2, and to compute the following: (a) (fg)(x) (b) f(g(x)) (c)

20 20 Operations on Functions 300 Use the functions f(x) = 5x, g(x) = 3x + 2, and h(x) = 6x 2 + x – 2 to compute the following: (a) (b) f(g(x))

21 21 Operations on Functions 400 Use the functions f(x) = 5x, g(x) = 3x + 2, and h(x) = 6x 2 + x – 2 to compute the following: (a) (gh)(x) (b) (c) f(f(-1))

22 22 Operations on Functions 500 Use the functions f(x) = 2x – 1, g(x) = x 2, and to compute f(g(h(g(2)))).

23 23 Inverse Functions 100 Find the inverse of f(x) = 2x – 8.

24 24 Inverse Functions 200 Find the inverse of.

25 25 Inverse Functions 300 Find the inverse of.

26 26 Inverse Functions 400 Find the inverse of.

27 27 Inverse Functions 500 Find the inverse of the function.


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