Math Problem Statement

f(x)=(.8)x+1

Solution

The function you've provided is f(x)=0.8x+1f(x) = 0.8x + 1, which is a linear function.

  • Slope: The coefficient of xx, which is 0.80.8, represents the slope of the line. This means for every 1 unit increase in xx, f(x)f(x) increases by 0.8.

  • Y-intercept: The constant term, 11, represents the y-intercept of the line, which means the line crosses the y-axis at the point (0,1)(0, 1).

Would you like to explore further how to graph this function, find its values for certain xx-values, or anything else?

Related Questions:

  1. How would you graph this linear function on a coordinate plane?
  2. What is the value of f(x)f(x) when x=5x = 5?
  3. How do we determine the slope and intercept from an equation in slope-intercept form?
  4. How can you find the equation of a line if you know two points on it?
  5. What are the differences between linear and quadratic functions?

Tip:

To find the slope of any linear equation in the form y=mx+by = mx + b, simply identify the value of mm, which is the coefficient of xx.

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Math Problem Analysis

Mathematical Concepts

Linear Functions
Slope-Intercept Form
Algebra

Formulas

f(x) = mx + b

Theorems

Slope-Intercept Theorem

Suitable Grade Level

Grades 7-9