Question

Evaluating a Step Function Using the Function Rule!



HELP!

Answer 1

g(2)=3,

g(-2)=-4,

g(5)=5

Explanation:

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

from given restriction we see that x=2 lies withing
`2 \leq x <4`

corresponding function value is 3

Hence g(2)=3

-------

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

from given restriction we see that x=-2 lies withing
`-3 \leq x <-1`

corresponding function value is -4

Hence g(-2)=-4

-------

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

from given restriction we see that x=5 lies withing
`x \geq 4`

corresponding function value is 5

Hence g(5)=5

Answer 2

`g(2) = 3`

`g( - 2) = - 4`

`g(5) = 5`

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

`g(2) = 3`

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

-3≤x<-1

This implies that,

`g( - 2) = - 4`

Similarly,

`g(5) = 5`

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