Math Problem Statement
A function is represented by the graph. Complete the statement by selecting from the drop-down menu: The y-intercept of the function is _____ the y-intercept of the function represented in the graph.
Solution
From the image, the graph clearly shows a linear function. The y-intercept of the function is the point where the graph intersects the y-axis.
By looking at the graph:
- The graph intersects the y-axis at y = 4.
Thus, the y-intercept of the function is 4.
Would you like an explanation of why the y-intercept is determined this way, or help with other concepts related to graphs?
Here are 5 related questions for further exploration:
- How do you find the slope of a linear function from a graph?
- What is the equation of the line shown in the graph?
- How can you identify the x-intercept from a graph?
- What is the significance of the y-intercept in real-world problems?
- How does the slope affect the graph's steepness and direction?
Tip: Always remember that the y-intercept occurs when in any linear equation or function.
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Math Problem Analysis
Mathematical Concepts
Graphing Linear Functions
Y-Intercept
Formulas
y = mx + b (Slope-Intercept Form)
Theorems
Definition of Y-Intercept
Suitable Grade Level
Grades 6-8