Which of the following are the features for the graph of the parent absolute value function? select all that apply. 1. the domain is [0,sideways 8). 2. the range (- sideways 8,sideways 8). 3. the function decreases on the interval (- sideways 8, 0). 4. the function is even. 5. the function is continuous.

absolute value graph looks like a V, with the vertex at the origin.

1. the domain (x-values) is: (∞, ∞)  TRUE

2. the range (y-values) starts at the vertex: [0, ∞)  FALSE

3. the function decreases when left of vertex and increases when right of vertex: decreases (-∞, 0)  TRUE

4. f(x) = |x| = +/-x

   f(-x) = |-x| = +/-x

  f(x) = f(-x) so the function is even  TRUE

5. every x-value has a corresponding y-value (there are no gaps) so the function is continuous.  TRUE

Answers: 1, 3, 4, 5

The correct options are 3, 4 and 5.

Step-by-step explanation:

The parent absolute value function is defined as

where, x is any real number.

The features of the parent absolute value function are :

1.

2.

3. The function decreases on the interval .

4. The function increases on the interval .

5. The function is even because f(-x)=f(x) for any value of x.

6. The graph of an absolute value function is a V-shaped unbroken curve. So, it is a continuous function.

From the above features we can say that the options 3, 4 and 5 are correct.

a) 15/7

step-by-step explanation:

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".