Respuesta :
Answer:
f(-2 ) =2
f(0) = 3
f(4) = -1
Step-by-step explanation:
Clearly by looking at the graph of the given function f(x) we could observe that the function f(x) is increasing in the interval (-∞,0] and then decreasing in the interval (0,∞).
Also, the function is discontinuous at x=0.
( Since, there is a break in a graph and also the left and right hand limit of the function are not equal at x=0)
Hence, from the graph we could directly say that:
f(-2 ) =2
f(0) = 3
f(4) = -1
The values of the function values are:
f(-2 ) =2, f(0) = 3 and f(4) = -1
The value of f(-2)
On the graph, the value of the function when x = -2 is 2
Hence, the value of f(-2) is 2
The value of f(0)
On the graph, the values of the function when x = 0 are 1 and 3.
However, the line that has a closed circle (i.e f(0) = 3) will take precedence over the line that has an open circle (i.e f(0) = 1)
Hence, the value of f(0) is 3
The value of f(4)
On the graph, the value of the function when x = 4 is -1
Hence, the value of f(4) is -1
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