Unit 3 Review.

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Presentation transcript:

Unit 3 Review

Relations Is the relation a function? Why or why not? {(0, 1), (4, 2), (5, 8), (6, 8)} X F(x) 1 2 3 6 4 5 10 Relations

Is the following graph a function? Why or why not? Vertical Line Test

Characteristics of Functions What is the domain of the function? What is the range of the function? Characteristics of Functions

What types of functions are displayed below?

Types of Functions X F(x) 1 3 2 5 7 X F(x) 1 3 2 9 27 What type of function is listed in the tables below? X F(x) 1 3 2 5 7 X F(x) 1 3 2 9 27 Types of Functions

Evaluating Functions F(x) = 2x – 5 G(x) = 2x3 + 8 Evaluate each of the functions at -2. Evaluating Functions

Combinations of Functions F(x) = 2x – 5 G(x) = 2x3 + 8 H(x) = x + 1 Find each of the following F(x) + H(x) F(x) – G(x) F(G(x)) Combinations of Functions

Sequences Write an equation to represent the arithemetic sequences.

Find the 50th term in the arithmetic sequence: An = 17n - 63 Sequences

Transformations of Functions F(x) = x2 What happened to the function f(x) in each of the below? F(x) = x2 + 5 F(x) = x2 – 8 F(x) = 5x2 Transformations of Functions

Transformations of Functions If g(x) = x2, write the equation of the new function if g(x) is stretched by a factor of 10 and translated 5 units down. If h(x) = x3, write the equation of the new function if h(x) is translated 4 units up and shrunk by a factor of 3. Transformations of Functions