Math Problem Statement

What is the zero of the function based on the graph of a linear function?

Solution

The "zero" of a function refers to the value of xx where the graph crosses the x-axis (i.e., where y=0y = 0).

Looking at the graph in your image, the line crosses the x-axis at x=1x = 1. Therefore, the zero of the function is x=1x = 1.

The correct answer is:

  • 1

Do you need more details or have any other questions?

Here are some related questions:

  1. How can we determine the slope of the line from this graph?
  2. What is the equation of this line in slope-intercept form?
  3. Can a linear function have more than one zero?
  4. How would the graph change if the slope was negative?
  5. How does the y-intercept affect the graph of a linear function?

Tip: The zero of a function is always the xx-coordinate of the point where the function intersects the x-axis.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Functions

Formulas

y = mx + b (Slope-Intercept Form)

Theorems

Zero of a function
Linear function properties

Suitable Grade Level

Grades 6-8