Use the graph of f(x) at right to determine the following values: a. f(1) b. f(-6) c. f(0) d. f(-3)

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Understand the Problem

The question is asking to determine the values of the function f(x) at specific points (1, 0, -6, and -3) using the provided graph of the function. This involves reading the corresponding y-values from the graph for the given x-values.

Answer

- $f(1) = 2$ - $f(0) = -2$ - $f(-3) = 1$ - $f(-6) = 0$
Answer for screen readers
  • $f(1) = 2$
  • $f(0) = -2$
  • $f(-3) = 1$
  • $f(-6) = 0$

Steps to Solve

  1. Find $f(1)$ Locate the x-value of 1 on the graph and trace vertically to determine the corresponding y-value.

  2. Find $f(0)$ Locate the x-value of 0 on the graph and trace vertically to find the y-value at this point.

  3. Find $f(-3)$ Locate the x-value of -3 on the graph and trace vertically down to determine the corresponding y-value.

  4. Find $f(-6)$ Locate the x-value of -6 on the graph and trace vertically to find the associated y-value.

  • $f(1) = 2$
  • $f(0) = -2$
  • $f(-3) = 1$
  • $f(-6) = 0$

More Information

The values are derived from reading the graph at specified points. Each of these y-values corresponds directly to the position of the points on the vertical axis when the specific x-values are traced.

Tips

  • Misreading the graph: Ensure you accurately trace the x-value to get the corresponding y-value.
  • Mixing up coordinates: Try not to confuse x-values and y-values when recording results.

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