Math Problem Statement

Find the value of f(-2) for the function f(x) = 4x + 10.

Solution

To determine f(2)f(-2) for the function f(x)=4x+10f(x) = 4x + 10, follow these steps:

  1. Substitute x=2x = -2 into the given function: f(2)=4(2)+10f(-2) = 4(-2) + 10

  2. Simplify the expression: f(2)=8+10f(-2) = -8 + 10

  3. Combine the terms: f(2)=2f(-2) = 2

Final Answer:

The value of f(2)f(-2) is 2, which corresponds to Option C.


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Related Questions:

  1. How do you determine f(x)f(x) for other values of xx?
  2. What is the slope of the function f(x)=4x+10f(x) = 4x + 10?
  3. What is the graph of f(x)=4x+10f(x) = 4x + 10?
  4. How do you solve for xx when f(x)=0f(x) = 0?
  5. What is the general form of a linear function?

Tip: For linear functions of the form f(x)=mx+bf(x) = mx + b, substituting specific values of xx gives corresponding f(x)f(x) (y-values) easily!

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Functions
Substitution

Formulas

f(x) = mx + b

Theorems

Linear equation substitution

Suitable Grade Level

Grades 7-9