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Functions Unit Review

Functions Unit Review . Int. Math 2. Vocabulary.

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Functions Unit Review

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  1. Functions Unit Review Int. Math 2

  2. Vocabulary Linear, non-linear, increasing, decreasing, rate of change, growth rate, domain, range, continuous, discontinuous, discrete, relation, function, inverse function, inverse of a function, composition of functions, exponential, quadratic, piecewise, absolute value, step, square root, explicit equations, recursive equations, vertical line test, horizontal line test.

  3. Compare and contrast each set of terms • continuous, discontinuous, discrete • relation, function • inverse function, inverse of a function, composition of functions • linear, exponential, quadratic • piecewise, absolute value, step, square root • explicit equations, recursive equations • rate of change, growth rate • domain, range • vertical and horizontal line tests

  4. Use precise vocab to describe

  5. The cost of tolls on the New Jersey Turnpike is based upon the number of miles traveled on it. If you travel 95miles or less the cost is an initial fee of $.50 and $.10 per mile. After 95 miles the cost per mile drops to $.05 . Determine a function that models the total cost of driving on the Turnpike. • Sketch a graph of the scenario. • Determine my cost if I get on the Turnpike at mile marker 60.5 and get off at 93.4. • Determine the cost to drive the full 112 miles on the Turnpike. • How far can I get on $2.50.

  6. Determine inverse of functions and note if it is an inverse function • { (9, 2) (5, 7) (6, 2) } • Y = • Graph y = 4x + 7 and its inverse

  7. Testing for inverse functions • What are some ways we can determine if a function’s inverse is a function?

  8. Use composition of functions to determine if the set are inverses

  9. Identify the parent function and describe the transformations of the following functions. Graph each. a. a(x)=3x2+1 b. b(x)=5x+4 c. c(x)=|3x|-6 d. d(x)= + 2 f. f(x)= (x+5)1/2 +2

  10. Graph using transformations

  11. Determine 2 functions that describe the following graph

  12. Write a linear and exponential explicit and recursive function that uses the following points. • (0, 1) (1, 8) Justify why each function works.

  13. Determine a quadratic that will pass through (5,7) and (2,10)

  14. Determine a recursive and explicit • The population of Kansas city grows by 3% each year. It is currently at 154,872. Model total population by number of years passed. • A photographer charges $150 for a 1 hour session and $1.35 per print. Model total cost given number of prints purchased.

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