https://file.aiquickdraw.com/mathbot/file/1726121900742kzp2jryt.jpg

The image presents four graphs, each with corresponding function estimates to solve. Let's go through them step by step:

1. **Graph 1: \( g(x) = -5\sqrt{x} + 50 \)**  
   - Estimate \( g(6), g(12), g(19) \) using the graph.

2. **Graph 2: \( g(x) = x^3 - 8x^2 + 8x \)**  
   - Estimate \( g(-2), g(1), g(8) \) from the graph.

3. **Graph 3: \( f(x) = |x| + 2 \)**  
   - Estimate \( f(-8), f(-3), f(0) \) from the graph.

4. **Graph 4: Piecewise function \( P(x) \)**  
   - Estimate \( P(-6), P(2), P(9) \).

I'll guide you through solving each one. Let's start with Graph 1, where we'll estimate the values directly from the graph. Would you like detailed assistance with each part?

Use the graph of each function to estimate the indicated function values. Then confirm the estimate algebraically. Round to the nearest hundredth, if necessary.

Learn how to estimate function values from graphs for various types of functions, including square root, cubic polynomial, absolute value, and piecewise functions. This exercise involves estimating values like g(6), f(-8), and P(-6), confirmed algebraically and rounded to the nearest hundredth. Suitable for students in Grades 9-12.

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