Math Problem Statement

Find h(5).

Solution

The image asks to find h(5)h(5).

Looking at the table provided in the image, there is a column for h(x)h(x). To find h(5)h(5), we simply look for the row where x=5x = 5 and find the corresponding value for h(x)h(x).

From the table: x=5h(5)=5x = 5 \quad \Rightarrow \quad h(5) = -5

Thus, h(5)=5h(5) = -5.

Would you like further details or have any other questions?

Here are 5 related questions to think about:

  1. What is h(2)h(-2) based on the same table?
  2. How would you find h(6)h(6)?
  3. What does the function f(x)=2x5f(x) = 2x - 5 represent in the problem?
  4. Can you describe the general shape of the graph of g(x)g(x)?
  5. How would you interpret the behavior of h(x)h(x) based on its table values?

Tip: Always verify the corresponding value for a given xx in any function or table by locating it in the appropriate row or domain.

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Math Problem Analysis

Mathematical Concepts

Functions
Table Lookup
Algebra

Formulas

h(x) from a table of values

Theorems

Function evaluation theorem

Suitable Grade Level

Grades 6-8