Math Problem Statement

when f(x)=0, then x=

When f(x)=0, then x=

Solution

From the graph provided, we are tasked with finding the xx-values where f(x)=0f(x) = 0. These points are the x-intercepts, where the curve crosses the x-axis.

Based on the graph:

  • The curve crosses the x-axis at three points.
    1. Approximately at x=7x = -7
    2. Approximately at x=0x = 0
    3. Approximately at x=6x = 6

Thus, when f(x)=0f(x) = 0, the approximate values of xx are: x7,0,6x \approx -7, 0, 6

Would you like further details or have any questions?

Here are 5 related questions you might consider:

  1. What are the maximum and minimum points on the graph?
  2. How can you determine the intervals of increase and decrease from the graph?
  3. What is the range of the function shown in the graph?
  4. How do we find the points of inflection from this graph?
  5. How can we estimate the derivative at specific points along the curve?

Tip: The x-intercepts are the points where a function changes sign, often providing valuable insight into the behavior of the function in different regions.

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Math Problem Analysis

Mathematical Concepts

Graph Interpretation
Zeroes of a Function
X-Intercepts

Formulas

f(x) = 0 identifies the x-intercepts

Theorems

Zero Theorem: A function f(x) = 0 at its x-intercepts

Suitable Grade Level

Grades 9-12