Math Problem Statement

Use the graph of g to find ​g(7​).

Use the graph of g to find g(7).

Solution

To find g(7)g(7), we need to locate the value of g(x)g(x) when x=7x = 7 on the graph provided.

Looking at the graph:

  1. Locate x=7x = 7 on the horizontal axis.
  2. Trace vertically from x=7x = 7 until you reach the point on the graph's line.
  3. Read off the corresponding yy-value.

From the graph:

  • When x=7x = 7, the corresponding yy-value on the function g(x)g(x) is approximately -8.

Thus, g(7)=8g(7) = -8.

Would you like further details or have any questions?

Here are 5 related questions for practice:

  1. What is the value of g(4)g(-4)?
  2. Find g(0)g(0) using the graph.
  3. For what values of xx does g(x)=6g(x) = -6?
  4. Determine the xx-intercepts of g(x)g(x).
  5. What is the range of g(x)g(x) as shown in the graph?

Tip: To find function values from a graph, always trace the x-coordinate vertically to intersect the function and read the y-coordinate.

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Math Problem Analysis

Mathematical Concepts

Functions
Graph Interpretation

Formulas

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Theorems

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Suitable Grade Level

Grades 6-8