Math Problem Statement

g(x)=2x+10

Solution

The function g(x)=2x+10g(x) = 2x + 10 is a linear function, where:

  • Slope: 22, which indicates the steepness of the line.
  • Y-intercept: 1010, which is the point where the line crosses the y-axis when x=0x = 0.

Example Calculations:

  1. g(0)=2(0)+10=10g(0) = 2(0) + 10 = 10
  2. g(1)=2(1)+10=12g(1) = 2(1) + 10 = 12
  3. g(2)=2(2)+10=6g(-2) = 2(-2) + 10 = 6

Would you like more details or have any questions?

Here are some related questions:

  1. What is the graph of g(x)=2x+10g(x) = 2x + 10?
  2. How does the slope affect the shape of the function?
  3. What is the inverse of the function g(x)=2x+10g(x) = 2x + 10?
  4. How do you solve g(x)=0g(x) = 0?
  5. What happens when you add a constant to the function?

Tip: The slope mm in a linear function y=mx+by = mx + b determines the rate at which the function increases or decreases.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Functions

Formulas

Linear function formula y = mx + b

Theorems

Slope-Intercept Form

Suitable Grade Level

Grades 6-8