Math Problem Statement

Evaluate this function

Evaluate this function

Solution

We are given the function to evaluate f(8)f(8) from the image. The function looks like this:

f(8)=24(8)21f(8) = 2 \cdot 4(8) - 21

Let’s break this down step by step:

  1. 48=324 \cdot 8 = 32
  2. 232=642 \cdot 32 = 64
  3. 6421=4364 - 21 = 43

Thus, the value of f(8)f(8) is:

f(8)=43f(8) = 43


Would you like a detailed explanation on how to approach similar problems? Here are 5 follow-up questions:

  1. What type of function is this—linear, quadratic, or something else?
  2. How would the answer change if the input were f(x)=24x21f(x) = 2 \cdot 4x - 21 and x=10x = 10?
  3. Can this function have negative outputs for any value of xx?
  4. What is the y-intercept of this function if we treat it as f(x)=24x21f(x) = 2 \cdot 4x - 21?
  5. How do transformations (shifting, stretching) affect the graph of a linear equation?

Tip: Always simplify step by step to avoid calculation mistakes.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Functions
Function Evaluation

Formulas

f(x) = 2 * 4x - 21

Theorems

Basic Function Evaluation

Suitable Grade Level

Grades 6-8