Which function is represented by the graph? O f(x) = -2[x] + 1
O f(x) = -21X1+1
O f(x) = -2|x + 11
O AX) = = {\x + 1]

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f(x) = −|x + 4| + 3

Step-by-step explanation:

since, the value of the function at x=0 is -1

so, we will check which functions gives the same value

f(x) = −|x − 3| + 4  at x=0 it gives 1

f(x) = −|x + 3| + 4  at x=0 it also gives 1

f(x) = −|x − 4| + 3   at x=0 it gives -1

f(x) = −|x + 4| + 3   at x=0 it also gives -1

so, we have discarded first two options

Now at x=4 function gives negative value

f(x) = −|x − 4| + 3   at x=4 it gives 3

f(x) = −|x + 4| + 3 whereas at x=4 it gives -5

Hence, the function  represented by the graph is:

f(x) = −|x + 4| + 3

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step-by-step explanation: