Math Problem Statement

Evaluate f(x) = 3x - 4 at x = -3.

Solution

Let's break down the given problem from the image:

  1. Function: f(x)=3x4f(x) = 3x - 4
  2. Evaluate f(3)f(-3).

Step-by-step solution:

To evaluate f(3)f(-3), substitute x=3x = -3 into the function f(x)=3x4f(x) = 3x - 4.

f(3)=3(3)4f(-3) = 3(-3) - 4

f(3)=94f(-3) = -9 - 4

f(3)=13f(-3) = -13

Final Answer:

f(3)=13f(-3) = -13

The provided solution on the worksheet is correct!


Would you like to see additional explanations or related topics?

Here are 5 related questions to explore:

  1. How do you find the slope of a linear function like f(x)=3x4f(x) = 3x - 4?
  2. What does the value of f(3)=13f(-3) = -13 represent on a graph?
  3. How would you evaluate the function if given f(2)f(2) instead?
  4. What are the domain and range of the function f(x)=3x4f(x) = 3x - 4?
  5. How does the function f(x)=3x4f(x) = 3x - 4 behave as xx approaches very large positive or negative numbers?

Tip: Whenever evaluating a function, carefully substitute the given input and watch out for sign errors!

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Functions
Function Evaluation

Formulas

f(x) = 3x - 4

Theorems

Linear Function

Suitable Grade Level

Grades 7-9