Math Problem Statement

Based on the function f(x) = 4x - 7, find the value of f(4).

Solution

The image provides a function f(x)=4x7f(x) = 4x - 7 and asks to find the value of f(4)f(4).

Step-by-step solution:

  1. The formula for the function is: f(x)=4x7f(x) = 4x - 7

  2. To find f(4)f(4), substitute x=4x = 4 into the formula: f(4)=4(4)7f(4) = 4(4) - 7

  3. First, calculate 4×4=164 \times 4 = 16, so: f(4)=167=9f(4) = 16 - 7 = 9

Thus, f(4)=9f(4) = 9.

Would you like any further details on this? Here are some related questions you might find helpful:

  1. How can you determine the slope of a function from its equation?
  2. What is the significance of the value of f(4)f(4) on the graph of this function?
  3. How can you graph the function f(x)=4x7f(x) = 4x - 7 using points from the table?
  4. What would f(10)f(10) be using the same formula?
  5. Can you explain how the function changes as xx increases?

Tip: Always substitute the given value of xx carefully to avoid small calculation errors.

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Math Problem Analysis

Mathematical Concepts

Linear Functions

Formulas

f(x) = 4x - 7

Theorems

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Suitable Grade Level

Grades 6-9