Evaluating a step function using the function rule!

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ANSWER

EXPLANATION

The given step function have constant y-values on certain interval.

To find g(2), we plug x=2 into

g(x) =3, because 2 belongs to the interval

2≤x<4

This implies that

To find g(-2), we substitute x=-2 into g(x)=-4, because x=-4 belongs to

-3≤x<-1

This implies that,

Similarly,

because x=5 belongs to the interval,x≥4

g(2)=3,

g(-2)=-4,

g(5)=5

Step-by-step explanation:

g(2) means find the value of function g(x) when x=2

from given restriction we see that x=2 lies withing

corresponding function value is 3

Hence g(2)=3

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g(-2) means find the value of function g(x) when x=-2

from given restriction we see that x=-2 lies withing

corresponding function value is -4

Hence g(-2)=-4

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g(5) means find the value of function g(x) when x=5

from given restriction we see that x=5 lies withing

corresponding function value is 5

Hence g(5)=5

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step-by-step explanation: