Math Problem Statement

Find f(4) for the function f(x) = -2x + 4.

Solution

The function given in the image is:

f(x)=2x+4f(x) = -2x + 4

To find f(4)f(4), substitute x=4x = 4 into the function:

f(4)=2(4)+4f(4) = -2(4) + 4

f(4)=8+4=4f(4) = -8 + 4 = -4

So, f(4)=4f(4) = -4.

Would you like any further explanation on this? Here are a few related questions:

  1. How do you find the value of a function for a given input?
  2. What is the slope of the function f(x)=2x+4f(x) = -2x + 4?
  3. How would the graph of f(x)=2x+4f(x) = -2x + 4 look like?
  4. What would f(x)=2x+4f(x) = -2x + 4 become if you change the slope to 3?
  5. How do you determine the x-intercept of the function f(x)=2x+4f(x) = -2x + 4?

Tip: When evaluating a function at a specific value, carefully substitute the value into the function and simplify step by step.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Functions
Function Evaluation

Formulas

f(x) = mx + b

Theorems

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Suitable Grade Level

Grades 6-8