Section 8.6Comparing Linear, Exponential, andQuadraticFunctions 465Exercises8.6Dynamic Solutionsavailable at BigIdeasMath.com
In Exercises 5–8, tell whether the points appear to represent a linear, an exponential, or a quadratic function.5. 426x42y 6. xy8124247.46222x2y 8. 24x22yIn Exercises 9–14, plot the points. Tell whether the points appear to represent a linear, an exponential, or aquadratic function. (See Example 1.)9. (2, 1), (1, 0), (1, 2), (2, 3), (0, 1)10. ( 0, 1 — 4 ) , (1, 1), (2, 4), (3, 16), ( 1, 1 — 16 ) 11. (0, 3), (1, 0), (2, 9), (2, 9), (1, 0)12. (1, 3), (3, 5), (0, 1), (1, 5), (2, 15)13. (4, 4), (2, 3.4), (0, 3), (2, 2.6), (4, 2)14. (0, 8), (4, 0.25), (3, 0.4), (2, 1), (1, 3)In Exercises 15–18, tell whether the table of values represents a linear, an exponential, or a quadratic function. (See Example 2.) 15. x21012y00.511.5216. x10123y0.2152512517. x23456y261854162 18. x32101y24.5812.518Monitoring Progress and Modeling with MathematicsMonitoring Progress and Modeling with Mathematics 1. WRITING Name three types of functions that you can use to model data. Describe the equation and graph of each type of function. 2. WRITING How can you decide whether to use a linear, an exponential, or a quadratic function to model a data set? 3. VOCABULARY Describe how to nd the average rate of change of a function y f (x) between x a and x b. 4. WHICH ONE DOESN’T BELONG? Which graph does not belong with the other three? Explain your reasoning.242x2yf 124x22ym 2x42yn 4x22ygVocabulary and Core Concept CheckVocabularyand Core ConceptCheck