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If a function f(x) is defined as f(x) = 3x - 5, what is the slope of the graph o

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Question: If a function f(x) is defined as f(x) = 3x - 5, what is the slope of the graph of this function?

Options:

  1. 3
  2. -5
  3. 0
  4. Undefined

Correct Answer: 3

Solution: 

In the linear function f(x) = mx + b, m represents the slope. Here, m = 3, so the slope is 3.

If a function f(x) is defined as f(x) = 3x - 5, what is the slope of the graph o

Practice Questions

Q1
If a function f(x) is defined as f(x) = 3x - 5, what is the slope of the graph of this function?
  1. 3
  2. -5
  3. 0
  4. Undefined

Questions & Step-by-Step Solutions

If a function f(x) is defined as f(x) = 3x - 5, what is the slope of the graph of this function?
  • Step 1: Identify the form of the function. The function is f(x) = 3x - 5.
  • Step 2: Recognize that this function is in the form of a linear equation, which is f(x) = mx + b.
  • Step 3: In this form, 'm' represents the slope of the line.
  • Step 4: Look at the coefficient of 'x' in the function. Here, the coefficient of 'x' is 3.
  • Step 5: Conclude that the slope of the graph of this function is 3.
  • Linear Functions – Understanding the standard form of a linear function, f(x) = mx + b, where m is the slope and b is the y-intercept.
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