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Math Question?
Given the piecewise function q(x), complete an xy-chart for each piece of the given function. Be sure to use correct inputs based on the domain of each piece of the function, and use solid or open dots to denote whether a point will be part of the graph or not (there is not graph to complete, just the charts).
q(x)= x ,if it is less than or equal to -2
3x+10 ,if x>-2
(Don't know what I am doing wrong or right, therefore this first part of the answer may be wrong also! The first graph I got (-4,-4) (-3,-3) (-2,-2) with the endpoint as (-2,-2) all solid circles (was not told if this was wrong or not). When I get to the other points I am not able to get the correct endpoint for some reason for an answer).
1 Answer
- PuzzlingLv 72 weeks agoFavorite Answer
The first part is the line y=x, but it stops when you get to (-2,-2) with a solid circle (because it is less than or *equal* to -2).
Just like you figured, some points on that part of the graph are:
..., (-4,-4), (-3,-3), (-2,-2)
For the second part, it is the line y=3x+10, but at the endpoint you have an open circle (because it is greater than (but not equal to).
To find the endpoint, use x=-2 and you'll get y=3(-2)+10 = 4. So (-2,4) but again with an *open* circle there. The point (-2,4) is not actually on the graph, but the line to right is.
Some points that are actually on that part of the line are:
(-1,7), (0, 10), (1,13), ...
Check the graph in the link below.
Source(s): https://www.desmos.com/calculator/fwaumqs1cg
