Math Problem Statement

Express y = 3x + 10 using function notation.

Solution

To solve this question:

We are given the equation y=3x+10y = 3x + 10 and asked to express it using function notation.

Function Notation

In function notation, we represent yy as g(x)g(x). This means: g(x)=3x+10g(x) = 3x + 10

Correct Answer

The correct option is: g(x)=3x+10\boxed{g(x) = 3x + 10}

Let me know if you’d like further explanation!


Here are 5 related questions to enhance your understanding:

  1. What does g(x)g(x) mean in function notation, and why is it used?
  2. How would you rewrite y=2x5y = 2x - 5 in function notation?
  3. If g(x)=3x+10g(x) = 3x + 10, what is g(2)g(2)?
  4. What is the inverse function of g(x)=3x+10g(x) = 3x + 10?
  5. How do you determine whether a given equation represents a function?

Tip: Function notation helps in efficiently describing the relationship between variables and makes it easier to evaluate, differentiate, and analyze functions.

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Math Problem Analysis

Mathematical Concepts

Algebra
Function Notation

Formulas

y = 3x + 10

Theorems

Definition of a Function

Suitable Grade Level

Grades 8-10