F(x) = - |x| + 4
1 answer:
Answer:
We can easily solve this problem by plotting the equation with a grpahing calculator. Please see attached image.
Define the key features of the graph of the provided absolute value function.
Even function. The graph is inverted, if we compare it to the absoluted value of |x| thanks to the minus sign. It is also shifted up because we are adding +4
Provide the coordinate of the vertex and two additional points on the graph.
Coordinate of the vertex
V = (x,y) = (0,4)
Points where the graph crosses x - axis
(-4,0)
(4, 0)
Use the coordinate of the function’s vertex to prove the domain and range of the function.
Domain
All real numbers
Range
(-∞, 4]
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