Math Problem Statement
Solution
It seems that you've uploaded a pair of images containing a graph and a set of related questions. I'll first extract the necessary information from the graph in the first image and then proceed to help with the table, evaluations, and other related tasks.
Let's break this down step by step:
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First Task: Fill the table with the function values at specific x-values. I'll refer to the graph for these values. The table appears to require us to find for .
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Second Task: Evaluate expressions. The second image contains questions asking to evaluate specific values such as , , etc.
Let me start by extracting the values for the table and performing these evaluations.Based on the graph shown in the first image, I will extract the values of for the given -values:
- For , the value of is 1.
- For , the value of is 2.
- For , the value of is 3.
- For , the value of is 5.
- For , the value of is 3.
So, the table should be filled as follows:
-2 | 1 |
-1 | 2 |
0 | 3 |
1 | 5 |
2 | 3 |
Now for the evaluations:
(b) Evaluate :
- From the graph, , and .
- So, .
(c) Evaluate :
- From the graph, , and .
- So, .
(d) Evaluate :
- From the graph, .
- So, .
(e) Evaluate :
- From the graph, .
- So, .
Let me know if you need further details or clarifications on any of the steps!
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Math Problem Analysis
Mathematical Concepts
Function Evaluation
Graph Interpretation
Basic Algebra
Formulas
h(x) values from the graph
Basic arithmetic operations: addition, subtraction, multiplication
Theorems
Function evaluation from graphical representation
Suitable Grade Level
Grades 8-10