Math Problem Statement

Use the given graph to evaluate the function y = r(x) at: a. r(-2), b. r(14), c. r(-12).

Solution

Let's analyze the image and evaluate the function values r(2)r(-2), r(14)r(14), and r(12)r(-12) using the graph provided.

Given Graph Observations:

The graph shows the function y=r(x)y = r(x) with key points labeled:

  • At x=2x = -2, r(2)=8r(-2) = 8.
  • At x=14x = 14, r(14)=6r(14) = -6.
  • At x=12x = -12, r(12)=12r(-12) = 12.

Final Answers:

  1. r(2)=8r(-2) = 8
  2. r(14)=6r(14) = -6
  3. r(12)=12r(-12) = 12

Would you like a deeper explanation of how to interpret such graphs or further assistance?


Here are 5 related questions to expand your understanding:

  1. What does it mean for a function to have a specific value at a point x=ax = a?
  2. How can we determine the domain and range of a graph from such visualizations?
  3. What are the differences between continuous and discrete functions on a graph?
  4. How do we estimate intermediate values when the graph does not pass through a grid point?
  5. How does the symmetry or shape of a graph help identify function properties?

Tip: Always double-check graph coordinates carefully to avoid misreading function values.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Function Evaluation
Graph Interpretation

Formulas

-

Theorems

Definition of a Function

Suitable Grade Level

Grades 8-10