FUNCTIONS REVIEW PRECALCULUS UNIT 1 REVIEW STANDARD 1

FUNCTIONS REVIEW PRE-CALCULUS UNIT 1 REVIEW

STANDARD 1: DESCRIBE SUBSETS OF REAL NUMBERS • What are the categories? • Where would these be placed? • 7, 6, -1. 5, 7 • √ 3, 4, -12

STANDARD 2: IDENTIFY AND EVALUATE FUNCTIONS AND STATE THEIR DOMAIN AND RANGE •

STANDARD 3: USE GRAPHS OF FUNCTIONS TO ESTIMATE FUNCTION VALUES • Find f(-. 5) • Find f(-3. 5)

STANDARD 4: IDENTIFY ODD AND EVEN FUNCTIONS • Even, odd, or neither? • F(x) = 3 x² + 15 • G(x) = -12 x³ -. 5 x² - 1

STANDARD 5: USE LIMITS TO DETERMINE THE CONTINUITY OF A FUNCTION • Determine if the function is continuous at the given point. • F(x) = -. 5 x³ +1. 5 x² -2. 5 at f(-2)

STANDARD 6: USE LIMITS TO DESCRIBE THE END BEHAVIOR OF FUNCTIONS • What is the end behavior of the following function? (IE as x ∞ and as x - ∞ • F(x) = 3 x² - 12 x³ + 15

STANDARD 7: FIND INTERVALS OF INCREASING, DECREASING, AND ABSOLUTE AND RELATIVE MAX AND MINS

STANDARD 8: DETERMINE THE AVERAGE RATE OF CHANGE OF A FUNCTION • Find average rate of change of the function • F(x) = 3 x² - 12 x³ + 15 from [-2, 2]

STANDARD 9: IDENTIFY, GRAPH AND DESCRIBE PARENT FUNCTIONS • Graph the parent function of the following: • Linear • Quadratic • Cubic • Absolute Value

STANDARD 10: IDENTIFY AND GRAPH TRANSFORMATIONS OF FUNCTIONS • Graph the following • F(x) = (x + 2)² - 6 • G(x) = │x - 4│+ 1 • H(x) = 3 x + 4

STANDARD 11: PERFORM OPERATIONS WITH FUNCTIONS • If f(x) = -2 x² + 1 and g(x) = 4 x³ + 2 x • What is f(x) + g(x)? • What is f(x) – g(x)? • What is f(x) ● g(x)?

STANDARD 12: FIND COMPOSITIONS OF FUNCTIONS • If f(x)= 4 x³ + 2 x + 1 and g(x) = x- 7 • What is f(g(x))? • What is g(f(x))?

STANDARD 13: USE THE HORIZONTAL LINE TEST TO DETERMINE WHETHER A FUNCTION HAS AN INVERSE • Do the graphs have inverses?

STANDARD 14: FIND INVERSE FUNCTIONS ALGEBRAICALLY AND GRAPHICALLY •