Answer:
Step-by-step explanation:
Considering the function
DETERMINING FIRST ITERATION:
[tex]g\left(0.5\right)=-1\:|\:0.5\:-\:2\:|\:+\:3[/tex]
= -1 | 0.5 - 2 | + 3
= -1 | -1.5 | + 3
[tex]\mathrm{Apply\:absolute\:rule}:\quad \left|-a\right|=a[/tex] ; | -1.5 | = 1.5
[tex]=-1.5+3[/tex]
= 1.5
Thus, the first iteration = 1.5
DETERMINING SECOND ITERATION:
Putting the value of first iteration i.e. 1.5 into the original function to determine the 2nd iteration.
[tex]g\left(1.5\right)=-1\:|\:1.5\:-\:2\:|\:+\:3[/tex]
as [tex]1.5 - 2 = -0.5[/tex]
[tex]\mathrm{Apply\:absolute\:rule}:\quad \left|-a\right|=a[/tex] ; | -0.5 | = 0.5
[tex]=-0.5+3[/tex]
= 2.5
Thus, the 2nd iteration = 2.5
DETERMINING THIRD ITERATION:
Putting the value of second iteration i.e. 2.5 into the original function to determine the 2nd iteration.
[tex]g\left(2.5\right)=-1\:|\:2.5\:-\:2\:|\:+\:3[/tex]
[tex]\mathrm{Apply\:absolute\:rule}:\quad \left|a\right|=a,\:a\ge 0[/tex]
[tex]=-0.5+3[/tex] as [tex]2.5-2=0.5[/tex]
= 2.5
Thus, the third iteration = 2.5
Answer:
Sample Answer:When a linear function is expressed in different forms, its slope and y-intercept remain the same. The slope from the equation is -1, and the y-intercept from the equation is 3. The slope from the table is -1, and the y-intercept from the table is −3. These are not the same functions.
Step-by-step explanation:
