Math Problem Statement

What is the value of f(-1) when f(x) = 2x + 2?

Solution

We are given the function f(x)=2x+2f(x) = 2x + 2, and we need to find the value of f(1)f(-1).

To do this, simply substitute x=1x = -1 into the function:

f(1)=2(1)+2f(-1) = 2(-1) + 2 f(1)=2+2f(-1) = -2 + 2 f(1)=0f(-1) = 0

So, the value of f(1)f(-1) is 0.

Would you like more details or have any questions?

Here are five related questions to expand on this concept:

  1. What is f(0)f(0) for the same function?
  2. How do you determine if a function is linear based on its equation?
  3. Can you find the slope and y-intercept of the function f(x)=2x+2f(x) = 2x + 2?
  4. What is f(2)f(2) for the function f(x)=2x+2f(x) = 2x + 2?
  5. How would the function change if the equation was f(x)=2x+2f(x) = -2x + 2?

Tip: Always remember, for any function f(x)=mx+bf(x) = mx + b, where mm is the slope and bb is the y-intercept, you can quickly calculate any value by plugging in the desired xx.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Functions
Function Evaluation

Formulas

f(x) = mx + b
Substitution: f(a) = 2(a) + 2

Theorems

Basic Function Evaluation

Suitable Grade Level

Grades 6-8