Math Problem Statement

Find one value of x for which f(x) = 3 and find f(1).

Solution

Let's examine the graph to answer the two questions:

  1. (a) Find one value of xx for which f(x)=3f(x) = 3:

    Looking at the graph, we need to identify where the function f(x)f(x) intersects the line y=3y = 3. From observation, one value of xx where f(x)=3f(x) = 3 appears to be at x=2x = 2.

  2. (b) Find f(1)f(1):

    To find f(1)f(1), locate x=1x = 1 on the graph and check the corresponding yy-value. From the graph, it seems that when x=1x = 1, f(1)=2f(1) = -2.

Thus:

  • (a) x=2x = 2
  • (b) f(1)=2f(1) = -2

Would you like more details, or do you have any further questions?

Here are 5 related questions:

  1. How do you determine values from a function graphically?
  2. Can there be more than one solution for f(x)=3f(x) = 3?
  3. What is the meaning of the zeros of a function on a graph?
  4. How can we estimate the behavior of a function beyond the visible graph?
  5. What happens if a function is not continuous?

Tip: Always check the graph carefully to ensure you're interpreting the function's values correctly.

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Math Problem Analysis

Mathematical Concepts

Graph interpretation
Function values

Formulas

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Theorems

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Suitable Grade Level

Grades 9-10