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Understanding Functions and Graphs: Linear, Quadratic, Reciprocal, and More

Explore the concepts of linear, quadratic, reciprocal, and square root functions along with their graphs. Learn how to sketch graphs, identify intercepts, determine domain and range, evaluate functions, and understand absolute value functions. Challenge yourself with additional problems for a deeper understanding.

charity-stanton
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Understanding Functions and Graphs: Linear, Quadratic, Reciprocal, and More

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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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