How do I graph this? In picture below please include the graph
1 answer:
Answer:
See the attached figure.
Step-by-step explanation:
The given function is called piecewise function which is the function that can be in pieces, i.e: defined by multiple sub-functions.
So, need to graph 2x in the interval [3,∞)
And graph -(1/3) x + 7 in the interval (-∞,3]
We will find that f(3) at the function 2x will be equal f(3) at the function -(1/3) x + 7
Which mean the function is continuous.
The attached figure represents the graph of function, it was graphed using the tables on the graph.
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You can focus on the two sub-triangles ABC and ACD
We know that they are both right triangles, because we're given that AC and BD are perpendicular.
The sides AB and AD are the hypothenuses of these triangles, so we know their length through the pythagorean theorem:
But since we're given , the expressions for AD and AB are actually the same expression. This proves that AD=AB, and thus that the triangle is isosceles.