Which of the following are attributes of the function f(x)= |4(x-8)|-1 ?

Option 1 and 2.            

Step-by-step explanation:

Given : Function  

To find : Which of the following are attributes of the function?

Solution :

We find the domain, range , x-intercept and symmetry  of the given function to match from given attributes.

Function  

1) Domain is defined as the set of values in which function is defined.

Since, The given function for value x is under the absolute function so it is defined for all real numbers.

i.e.

2) The range is defined as the set of values that correspond with the domain.

i.e.  

3) x - intercept is defined as the value of x when y=0.

So,  

The values of x are

So, x-intercept exist.

4) Symmetry about x-axis

We show it by graphically as the vertex of equation is (8,0)

And if we construct a line x=8 the graph divides into two equal parts which means it is symmetrical at x=8.

Refer the attached figure below.

Therefore, From the following options, Option 1 and 2 are correct.

step-by-step explanation: