Math Problem Statement

Determine the value of f(0) from the given graph of f(x).

Solution

The problem asks to determine the value of f(0)f(0) based on the given graph of f(x)f(x).

To solve this, we need to examine the value of the function f(x)f(x) when x=0x = 0 on the graph.

  • At x=0x = 0, the function f(x)f(x) appears to have a value of 1, as the red curve intersects the y-axis at y=1y = 1.

Thus, we conclude that:

f(0)=1f(0) = 1

So the correct option is 1.

Let me know if you want further details or have any questions!

Here are 5 related questions you could consider:

  1. What would f(1)f(1) be based on this graph?
  2. How can we determine whether this function is continuous at x=0x = 0?
  3. What is the slope of the function between x=1x = -1 and x=0x = 0?
  4. How do we classify this function based on its graphical representation?
  5. What are the maximum and minimum values of f(x)f(x) in the given interval?

Tip: When reading graphs, always carefully check where the function crosses the axes and how it behaves around important points like zeros.

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Math Problem Analysis

Mathematical Concepts

Graphical analysis
Functions
Coordinate geometry

Formulas

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Theorems

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Suitable Grade Level

Grades 7-9