SOLUTION: How do I find the points which intersects with the x-axis for the function: f(x)=-2|x+3|+7 Thank you

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Question 949900: How do I find the points which intersects with the x-axis for the function: f(x)=-2|x+3|+7
Thank you
Found 2 solutions by macston, MathTherapy:
Answer by macston(5194)   (Show Source): You can put this solution on YOUR website!
Whenever the value of x=0 the graph will intersect the x axis, and the value of x MUST be zero for the graph to intersect the x axis, so solve the function for x=0.
Answer by MathTherapy(10555)   (Show Source): You can put this solution on YOUR website!

How do I find the points which intersects with the x-axis for the function: f(x)=-2|x+3|+7
Thank you
Set the piece-wise function equal to 0, which is the value of y on the x-axis. 

Then solve for x to find the ROOTS, or the zeroes of the function.

You should realize that the graph intersects the x-axis at the points,  and  

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