Question

Which describes the graph of fx=[x]-2 on [0, 3)?

Answer 1

Answer:

Step-by-step explanation:

Find the absolute value vertex. In this case, the vertex for  

y = |x − 2 | + 1 is  ( 2 , 1 ) .

To find the  x  coordinate of the vertex, set the inside of the absolute value  

x − 2  equal to  0 . In this case,  

x − 2 = 0. x−2 = 0

Add  2  to both sides of the equation.

x = 2

Replace the variable  x  with  2  in the expression.

y = | ( 2 ) − 2 | + 1

Simplify  

| ( 2 ) − 2 | + 1 .

Simplify each term.

Subtract  2  from  2

y = | 0 | + 1

The absolute value is the distance between a number and zero. The distance between  0  and  0  is  0 .

y = 0 + 1

Add  0  and  1 .

y = 1

The absolute value vertex is  ( 2 , 1 ) . ( 2 , 1 )