Math Problem Statement

c. Find f left parenthesis 1 right parenthesis . f left parenthesis 1 right parenthesis equalsenter your response here

Find f(1) from the graph.

Solution

To find f(1)f(1), we need to locate the value of f(x)f(x) when x=1x = 1 from the graph.

Steps:

  1. Find the point where x=1x = 1 on the x-axis.
  2. Trace vertically from x=1x = 1 until you hit the line (function).
  3. The corresponding y-coordinate of that point will give f(1)f(1).

From the graph:

  • When x=1x = 1, the function intersects the y-axis at approximately y=2y = 2.

Thus, f(1)=2f(1) = 2.

Would you like further details on this, or do you have any other questions? Here are five related questions you might consider:

  1. How can we find the slope of the line from the graph?
  2. How can we determine the equation of the line given two points?
  3. What does the function f(x)f(x) represent in terms of real-world applications?
  4. How do we interpret the slope and intercept of the line?
  5. How does the graph change if we shift the line vertically or horizontally?

Tip: Always make sure to double-check values from graphs, especially when reading coordinates at non-exact points.

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Math Problem Analysis

Mathematical Concepts

Graph reading
Linear functions
Coordinate Geometry

Formulas

Slope formula (m = (y2 - y1) / (x2 - x1))
Function evaluation f(x)

Theorems

Linear function theorem

Suitable Grade Level

Grades 6-8