Lesson 9-5 Comparing Functions

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Presentation transcript:

Lesson 9-5 Comparing Functions Obj: The student will be able to 1) Compare functions in different representations 2) Estimate and compare rates of change HWK: p 664 1, 2, 3, 5, 6, 7 Vocab: 1) average rate of change 2) [x₁, x₂] – a notation that means all x-values from x₁ to x₂ including x₁ and x₂

Functions Linear Quadratic Exponential Equation y = mx + b Example: y = 2x – 7 y = ax² + bx + c y = 2x² - 4x + 5 y = 𝑎𝑏 𝑥 a ≠ 0, b ≠ 1, b > 0 y = 0.5(2) 𝑥 Graph Table X Y 3 1 2 6 4 11 X Y 1 3 2 5 7 4 9 X Y 0.5 1 2 3 4 8

Ex 1) Deidre and Beth each deposit money into their checking account weekly. Their account information for the past several weeks is shown below. Compare the accounts by finding slopes and y-intercepts and interpreting those values in the context of the situation.

Ex 2) An investment analyst offers two different investment options for her customers. Compare the investments by finding and interpreting the average rates of change from year 0 to year 20.

Ex 3) Students in an engineering class were given an assignment to design a parabola-shaped bridge. Two students’ models are shown below. Compare the models by finding and interpreting maximums, x-intercepts and average rates of change over the x-interval [0, 20].