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Shape & Space 1

Shape & Space 1. SOME FUNCTIONS AND THEIR GRAPHS. Prerequisites. Sketch a graph of the linear function that has a slope of -2 / 3 and a y-intercept of 5. Consider the function y = - (x + 1) 2 + 4. a) Draw the graph of this function. b) Identify the x- and y- intercepts.

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Shape & Space 1

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  1. Shape & Space 1 SOME FUNCTIONS AND THEIR GRAPHS

  2. Prerequisites • Sketch a graph of the linear function that has a slope of -2/3 and a y-intercept of 5. • Consider the function y = - (x + 1)2 + 4. • a) Draw the graph of this function. • b) Identify the x- and y- intercepts. • c) What are the domain and range of this function? • Consider . • a) Evaluate: i) f(3) ii) f(-1) • b) Explain why f(-6) cannot be determined.

  3. Answers to Prerequisites #1

  4. Answers to Prerequisites continued

  5. Answers to Prerequisites continued • #3

  6. Some Functions and Graphs You Should Already Know

  7. Linear Functions

  8. Linear Example Total Cost ($) Number of yearbooks

  9. Quadratic Functions

  10. Quadratic Example Time (s) Height (m)

  11. Reciprocal Functions

  12. Reciprocal Example Amount ($) Annual Interest rate

  13. Square Root Function

  14. Square Root Example Distance (km) Height (km)

  15. Absolute Value Function

  16. Textwork • p. 10/ 1-9 • Challenge: p.12/ 10-11

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