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Consider the function given by the graph.

What are these values?
f(–2 ) =__
f(0) = __
f(4) = __

Consider the function given by the graph What are these values f2 f0 f4 class=

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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