Which phrases describe the graph of f(x) = |x| ? check all that apply.

a. v-shaped

b. u-shaped

c. opens up

d. opens down

e. symmetric with respect to the x-axis

f. symmetric with respect to the y-a

The given modulus function is a V-shaped curve, open upward and symmetric about y-axis. Options A, C, and F follow.

It is required to characterize modulus function. The given function is .

Now, modulus function is defined as,

It is a V-shaped function. The value of the function is always positive for all values of x.

The function opens upward.

For a pictorial view, see the graph attached in the solution.

The graph makes a mirror image about y-axis. And hence, it is symmetric about the y-axis.

Therefore, the function is a V-shaped curve, open upward and symmetric about y-axis. Options A, C, and F follow.

For more details, refer to the link:

link

1. perpendicular

2. parallel

3. perpendicular