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

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).
RELATED QUESTIONS
Which best describes the graph of the function... (answered by Theo)

which of the following best describes the graph the graph of this system of equations? (answered by josgarithmetic)

Graph the following system of inequalities. Name the coordinates of the vertices of the... (answered by KMST)

Which of the following describes the graph of {x | x ≤ 1} {x | x ≥ 4}? (answered by MathLover1,ikleyn)

Which of the following statements best describes the effect of replacing the graph of y = (answered by greenestamps)

Which is the graph of f(x) = [x] over the domain 3 ≤ x ≤ 6? (answered by ichigo449)

I have been working on this problem forever and can not come up with the answer in the... (answered by khwang)

How would you graph this logarithm statement on a graphing calculator? f(x)= log_3.9... (answered by Theo)

PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! each of the following (answered by stanbon)

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