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:

  1. How do you find the slope of a linear function from a graph?
  2. What is the equation of the line shown in the graph?
  3. How can you identify the x-intercept from a graph?
  4. What is the significance of the y-intercept in real-world problems?
  5. How does the slope affect the graph's steepness and direction?

Tip: Always remember that the y-intercept occurs when x=0x = 0 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