Math Problem Statement

The graph of a function f is shown below. Find f(1).

Solution

To find f(1)f(1) from the given graph of the function f(x)f(x), follow these steps:

  1. Locate x=1x = 1 on the horizontal axis (the xx-axis).
  2. Move vertically until you intersect the graph of the function.
  3. From the point of intersection, read the corresponding yy-value on the vertical axis (the yy-axis).

Upon inspection of the graph, the point where x=1x = 1 corresponds to y=4y = 4.

Thus, f(1)=4f(1) = 4.

Let me know if you'd like further explanation or assistance with the graph!


Here are 5 related questions to consider:

  1. How can you find f(x)f(x) for other specific xx-values from this graph?
  2. What are the critical points of the function f(x)f(x) on the graph?
  3. Does this function have any symmetry (e.g., odd, even, periodic)?
  4. How can you identify intervals where the function is increasing or decreasing from the graph?
  5. What is the approximate value of f(2)f(-2)?

Tip: Always align the xx-coordinate you’re looking at with its yy-coordinate for precision when reading graphs.

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Math Problem Analysis

Mathematical Concepts

Function Evaluation
Graph Reading

Formulas

No explicit formulas are used; focus is on interpreting graphs.

Theorems

None explicitly used; relies on understanding the definition of a function.

Suitable Grade Level

Grades 6-8