Math Problem Statement

Given f(x) = -3x - 2, find f(2).

Solution

The given function is f(x)=3x2f(x) = -3x - 2. To find f(2)f(2), substitute x=2x = 2 into the function:

f(2)=3(2)2f(2) = -3(2) - 2 f(2)=62=8f(2) = -6 - 2 = -8

Thus, f(2)=8f(2) = -8.

Would you like more details on how this was done, or do you have any other questions?

Here are 5 related questions to expand your understanding:

  1. What is the value of f(0)f(0) for the same function f(x)=3x2f(x) = -3x - 2?
  2. Can you find f(1)f(-1) using the same process?
  3. If f(x)=3x2f(x) = -3x - 2, what would be f(5)f(5)?
  4. What is the slope and y-intercept of the function f(x)=3x2f(x) = -3x - 2?
  5. How would you graph the function f(x)=3x2f(x) = -3x - 2?

Tip: Whenever working with a function, always substitute the given value for xx carefully, and perform each step systematically to avoid mistakes!

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Functions

Formulas

f(x) = -3x - 2

Theorems

Substitution in functions

Suitable Grade Level

Grades 6-8