Graph the following function on the axes provided f(x)= (3x +14 for  x < -5 x-4 for x > 2

To graph the function \( f(x) \), we need to break it down into its piecewise components:

### Function Definition:
- \( f(x) = 3x + 14 \) for \( x < -5 \)
- \( f(x) = x - 4 \) for \( x > 2 \)

### Steps:
1. **Graph for \( x < -5 \):**  
   The equation is \( f(x) = 3x + 14 \).  
   - This is a straight line with slope 3 and y-intercept 14.  
   - Since we are only interested in values where \( x < -5 \), we'll start from that point and move to the left.

2. **Graph for \( x > 2 \):**  
   The equation is \( f(x) = x - 4 \).  
   - This is a straight line with slope 1 and y-intercept -4.  
   - We graph this only for values where \( x > 2 \).

There are no values defined for \( -5 \leq x \leq 2 \), so we leave that part of the graph blank.

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Graph the following function on the axes provided f(x)= (3x +14 for x < -5 x-4 for x > 2

Learn how to graph the piecewise function f(x), defined as 3x + 14 for x < -5 and x - 4 for x > 2. This problem involves key concepts in algebra and linear equations, making it ideal for students in Grades 9-11. Explore a step-by-step breakdown of how to plot this function on a graph.

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