SOLUTION: Which of the following best describes the graph of f (x)- {x+4.x&#8804;2} {3x, x>2} Note: Whole line parenthesis, I did not know how to draw. The 3x is directly b

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Question 146799: Which of the following best describes the graph of
f (x)- {x+4.x≤2}
{3x, x>2}
Note: Whole line parenthesis, I did not know how to draw. The 3x is directly below the x + 4 etc...
Thanks

Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website!

Let's graph the 1st equation :

Graph of

Now only graph the portion of the line that is less than or equal to 2 compared to the x-axis

So the new graph looks like this:
Graph of with the restriction . Note: there is a closed circle at the endpoint.

Let's graph the 2nd equation :

Graph of

Now only graph the portion of the line that is greater than 2 compared to the x-axis

So the new graph looks like this:
Graph of with the restriction . Note: there is an open circle at the endpoint.

Now let's graph the equations together:

Graph of with the restriction of (red). Graph of with the restriction of (green).

SOLUTION: Which of the following best describes the graph of f (x)- {x+4.x&#8804;2} {3x, x>2} Note: Whole line parenthesis, I did not know how to draw. The 3x is directly b

SOLUTION: Which of the following best describes the graph of f (x)- {x+4.x≤2} {3x, x>2} Note: Whole line parenthesis, I did not know how to draw. The 3x is directly b