Math Problem Statement

Given f(x) = -3x + 20. Evaluate the following. What is f(8)?

Solution

The function given is f(x)=3x+20f(x) = -3x + 20. You are asked to evaluate f(8)f(8).

We can substitute x=8x = 8 into the function and simplify:

f(8)=3(8)+20=24+20=4f(8) = -3(8) + 20 = -24 + 20 = -4

So, f(8)=4f(8) = -4.

Would you like further details or have any other questions? Here are some related questions to explore:

  1. What would be f(5)f(-5) for the same function?
  2. How do you determine if a function like this is linear?
  3. What is the slope of the function f(x)=3x+20f(x) = -3x + 20?
  4. Can you find the x-intercept of this function?
  5. What is the y-intercept of the function f(x)f(x)?

Tip: When evaluating a function, always substitute the input value for xx and follow the order of operations (PEMDAS).

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Functions
Function Evaluation

Formulas

f(x) = mx + b
f(8) = -3(8) + 20

Theorems

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Suitable Grade Level

Grades 6-8