## Algebra 1

Published by Prentice Hall

# Chapter 4 - An Introduction to Functions - 4-3 Patterns and Nonlinear Functions - Practice and Problem-Solving Exercises - Page 251: 21

#### Answer

y=$x^{2}$+$\frac{2}{19}$

#### Work Step by Step

From the ordered pairs , we could determine the relationship of the y-coordinate and x-coordinate by divide them in order: (0,$\frac{2}{19})$ 0=$0^{2}$+$\frac{2}{19}$ (1, 1$\frac{2}{19}$)1$\frac{2}{19}$=$1^{2}$+$\frac{2}{19}$ (2，4$\frac{2}{19}$）4$\frac{2}{19}$=$2^{2}$+$\frac{2}{19}$ （3，9$\frac{2}{19}$)9$\frac{2}{19}$=$3^{2}$+$\frac{2}{19}$ ....... as an result , we could determine the rule of the function : y=$x^{2}$+$\frac{2}{19}$

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