Math Problem Statement

Evaluate each expression based on the following table. x −3 −2 −1 0 1 2 3 f(x) 1 3 6 2 −2 −0.5 1.25 (a) f(−1) (b) f(1)

Solution

Based on the given table:

x−3−2−10123
f(x)1362−2−0.51.25

(a) f(1)=6f(-1) = 6
(b) f(1)=2f(1) = -2

Would you like a more detailed explanation of this? Feel free to ask any questions!

Here are 5 related questions:

  1. What is f(2)f(2) based on the table?
  2. What is f(3)f(-3)?
  3. How can you interpret the changes in f(x)f(x) as xx increases?
  4. Can you find the average rate of change between x=2x = -2 and x=1x = 1?
  5. If f(x)f(x) represents a physical quantity, what could the negative values mean?

Tip: When working with function tables, it helps to visualize the data on a graph to understand trends and patterns.

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Math Problem Analysis

Mathematical Concepts

Functions
Function Tables
Algebra

Formulas

f(x) represents values of a function at given points

Theorems

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Suitable Grade Level

Grades 6-8