Math Problem Statement

Based on the table, evaluate f(7) and solve f(x) = 8.

Solution

Based on the table in the image, you are asked to:

  1. Evaluate f(7)f(7):
    From the table, when x=7x = 7, f(7)=15f(7) = 15.
    Therefore, f(7)=15f(7) = 15.

  2. Solve f(x)=8f(x) = 8:
    From the table, f(x)=8f(x) = 8 when x=3x = 3.
    Therefore, x=3x = 3.

Would you like any further details or have any questions?

Here are 5 related questions to expand on this:

  1. How can you find f(x)f(x) from a graph rather than a table?
  2. What does it mean for a function to be increasing or decreasing based on the table?
  3. How would you interpret the function's domain and range using the data in this table?
  4. Can a function have more than one xx value corresponding to a given f(x)f(x)?
  5. How would you interpolate a value for f(x)f(x) between two known points in the table?

Tip: When solving for f(x)=af(x) = a, always check if there are multiple solutions for xx, as functions can sometimes have more than one input yielding the same output.

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Math Problem Analysis

Mathematical Concepts

Functions
Table of Values
Algebra

Formulas

Function Evaluation: f(x)
Finding x for a given f(x)

Theorems

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Suitable Grade Level

Grades 7-9