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If a function f(x) is defined as f(x) = 2x + 3, what is the slope of the graph o

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Question: If a function f(x) is defined as f(x) = 2x + 3, what is the slope of the graph of this function?

Options:

  1. 0
  2. 2
  3. 3
  4. Undefined

Correct Answer: 2

Solution: 

In the linear function f(x) = 2x + 3, the coefficient of x (which is 2) represents the slope of the graph.

If a function f(x) is defined as f(x) = 2x + 3, what is the slope of the graph o

Practice Questions

Q1
If a function f(x) is defined as f(x) = 2x + 3, what is the slope of the graph of this function?
  1. 0
  2. 2
  3. 3
  4. Undefined

Questions & Step-by-Step Solutions

If a function f(x) is defined as f(x) = 2x + 3, what is the slope of the graph of this function?
  • Step 1: Identify the function given, which is f(x) = 2x + 3.
  • Step 2: Recognize that this is a linear function, which has the general form f(x) = mx + b, where m is the slope and b is the y-intercept.
  • Step 3: Look at the coefficient of x in the function. In this case, the coefficient of x is 2.
  • Step 4: Conclude that the slope of the graph of the function is the value of this coefficient, which is 2.
  • Linear Functions – Understanding the standard form of a linear function and identifying the slope from its equation.
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