Math Problem Statement

Evaluate the function at the indicated values: (8x+1). f(-2)

Solution

To evaluate the function f(x)=8x+1f(x) = 8x + 1 at x=2x = -2, we substitute 2-2 for xx in the function.

f(2)=8(2)+1f(-2) = 8(-2) + 1 f(2)=16+1f(-2) = -16 + 1 f(2)=15f(-2) = -15

So, f(2)=15f(-2) = -15.

Would you like further details or have any questions?

Here are 5 related questions to further explore the topic:

  1. How would you evaluate f(3)f(3) for the same function f(x)=8x+1f(x) = 8x + 1?
  2. If f(x)=8x+1f(x) = 8x + 1, what is f(0)f(0)?
  3. How do you find the slope of a linear function like f(x)=8x+1f(x) = 8x + 1?
  4. What happens to the function f(x)=8x+1f(x) = 8x + 1 if xx is a fraction?
  5. How would you determine the x-intercept of f(x)=8x+1f(x) = 8x + 1?

Tip: When evaluating functions, always substitute the given value for the variable and simplify step by step.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Functions
Function Evaluation

Formulas

f(x) = 8x + 1

Theorems

Linear Function Evaluation

Suitable Grade Level

Grades 6-8