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 ).
Looking at the graph, the line crosses the y-axis at . 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:
- What is the slope of the line shown in the graph?
- How would you express the equation of this line?
- How do you find the slope of a line from two points on a graph?
- What does the initial value represent in real-world contexts?
- 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