Math Problem Statement

Use the graph of the function f shown to find f(0), f(1), and f(2).

Solution

To solve this problem, we need to read the values of the function f(x)f(x) from the graph for specific points.

Let's analyze the graph:

The question asks for:

  1. f(0)f(0)
  2. f(1)f(1)
  3. f(2)f(2)

Reading values from the graph:

  1. f(0)f(0): At x=0x = 0, look at the point where the curve crosses the y-axis. The y-value is approximately 5. f(0)=5f(0) = 5

  2. f(1)f(1): At x=1x = 1, the graph shows the curve going up, and the y-value at this point appears to be around 9. f(1)=9f(1) = 9

  3. f(2)f(2): At x=2x = 2, the y-value is approximately 3. f(2)=3f(2) = 3

Final Answers:

  • f(0)=5f(0) = 5
  • f(1)=9f(1) = 9
  • f(2)=3f(2) = 3

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

Here are some follow-up questions for better understanding:

  1. How do we identify the y-values of a graph at specific x-values?
  2. What are the common types of functions that can be graphed, like the one shown?
  3. How can a graph help determine whether a function is increasing or decreasing at certain intervals?
  4. What is the significance of the x-axis and y-axis in function graphs?
  5. Can you explain how intercepts are identified on a function graph?

Tip: Always check if the graph has distinct points or intervals where the slope changes, as these indicate important features of the function (e.g., maxima, minima).

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Math Problem Analysis

Mathematical Concepts

Graph interpretation
Functions
Coordinates

Formulas

f(x) - y coordinate value at a given x

Theorems

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Suitable Grade Level

Grades 8-10