Math Problem Statement

Find g(5) based on the provided graph of the function g(x).

Solution

To find g(5)g(5), we need to look at the graph of the function g(x)g(x).

From the graph:

  1. Locate x=5x = 5 on the x-axis.
  2. Find the corresponding yy-value on the line.

By observing the graph, when x=5x = 5, the corresponding yy-value is 5-5. Therefore,

g(5)=5.g(5) = -5.

Would you like any more details, or do you have any questions?

Here are some related questions you might find interesting:

  1. How do you find the value of a function from its graph?
  2. What is the slope of the line g(x)g(x) shown in the graph?
  3. How do you determine the equation of a line given its graph?
  4. How can you find other function values like g(3)g(-3) from the graph?
  5. How does the function f(x)=x22x+2f(x) = -x^2 - 2x + 2 behave compared to g(x)g(x)?

Tip: When reading a graph, always make sure to accurately locate the corresponding yy-value for any given xx-value by tracing vertically or horizontally as needed!

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Math Problem Analysis

Mathematical Concepts

Functions
Linear Equations
Graph Interpretation

Formulas

y = mx + b (Slope-Intercept Form)

Theorems

Linear Function Properties

Suitable Grade Level

Grades 7-9