Math Problem Statement

f(x)=-3x-2 x=3

Solution

To evaluate the function f(x)=3x2f(x) = -3x - 2 at x=3x = 3, substitute x=3x = 3 into the function:

f(3)=3(3)2f(3) = -3(3) - 2 f(3)=92f(3) = -9 - 2 f(3)=11f(3) = -11

So, f(3)=11f(3) = -11.

Would you like more details on function evaluation or have any questions?

Here are 5 related questions to explore further:

  1. What is the slope of the linear function f(x)=3x2f(x) = -3x - 2?
  2. How does changing the value of xx affect the value of f(x)f(x)?
  3. Can you find the x-intercept of the function f(x)=3x2f(x) = -3x - 2?
  4. How do you determine the y-intercept of a linear function like f(x)=3x2f(x) = -3x - 2?
  5. How would you graph the function f(x)=3x2f(x) = -3x - 2?

Tip: To find the slope of a linear function, look at the coefficient of xx in the function's equation.

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Math Problem Analysis

Mathematical Concepts

Linear Functions
Function Evaluation

Formulas

f(x) = mx + b

Theorems

Slope-Intercept Form

Suitable Grade Level

Grades 6-8