Math Problem Statement

f(x)=−( 4 1 ​ ) x−5 −5

Solution

It looks like you’ve provided a function f(x)=(41)x55f(x) = -\left( \frac{4}{1} \right) x - 5 - 5. Based on the formatting, I think you might be describing:

f(x)=4x10f(x) = -4x - 10

Is this the correct function, or did you mean something else? If you intended a different form, feel free to clarify!

Let me know if you’d like me to analyze or solve something related to this function. Would you like me to help you graph it, find its domain and range, or maybe find its roots?

Here are some questions to expand on this:

  1. How do we find the slope and y-intercept of the equation?
  2. How would we graph this linear function on the coordinate plane?
  3. What is the behavior of the function as xx approaches infinity or negative infinity?
  4. How do we solve for xx if f(x)=0f(x) = 0?
  5. What is the significance of the slope in this linear function?

Tip: In a linear function of the form f(x)=mx+bf(x) = mx + b, mm is the slope and bb is the y-intercept.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Functions
Slope-Intercept Form

Formulas

f(x) = mx + b

Theorems

Slope-Intercept Form

Suitable Grade Level

Grades 7-9