Math Problem Statement

What is the initial value of the function shown in the graph?

Solution

The initial value of a function is also known as its y-intercept, which is the point where the graph intersects the y-axis (where x=0x = 0).

Looking at the graph, the line crosses the y-axis at y=2y = 2. Therefore, the initial value of the function is 2.

Would you like more details or have any further questions on this? Here are some related questions for further exploration:

  1. What is the slope of the line shown in the graph?
  2. How would you express the equation of this line?
  3. How do you find the slope of a line from two points on a graph?
  4. What does the initial value represent in real-world contexts?
  5. How does changing the slope affect the graph of the line?

Tip: The initial value (y-intercept) can be quickly identified as the point where the line crosses the y-axis.

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Math Problem Analysis

Mathematical Concepts

Linear Functions
Y-Intercept
Graphing

Formulas

y = mx + b

Theorems

Slope-Intercept Form Theorem

Suitable Grade Level

Grades 6-8