Math Problem Statement

Find g(3).

Solution

To find g(3)g(3), we need to look at the graph of g(x)g(x) on the left side of the image and determine the value of g(x)g(x) when x=3x = 3.

Looking at the graph:

  1. Locate x=3x = 3 on the horizontal axis.
  2. Follow this position vertically to find the corresponding point on the line of g(x)g(x).
  3. Observe the yy-coordinate of this point.

From the graph, when x=3x = 3, the yy-coordinate of g(x)g(x) appears to be 33.

So, the answer is: g(3)=3g(3) = 3

Would you like further details or explanations?

Here are five related questions for further practice:

  1. What is the slope of the function g(x)g(x) as shown on the graph?
  2. How would you find g(3)g(-3) using the same graph?
  3. What is the y-intercept of g(x)g(x) on this graph?
  4. How can you determine if g(x)g(x) is a linear function just by looking at the graph?
  5. Given the function h(x)=3x22x+2h(x) = 3x^2 - 2x + 2, what is h(3)h(3)?

Tip: When finding the value of a function from a graph, always start by locating the x-value on the horizontal axis and then trace it to the function's curve or line to find the corresponding y-value.

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Math Problem Analysis

Mathematical Concepts

Function evaluation
Linear functions
Coordinate geometry

Formulas

g(x) = mx + b (general form of a linear equation)

Theorems

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Suitable Grade Level

Grades 8-10