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 answers are:

A) V-Shaped (because absolute value graphs are v-shaped)
C) Opens up (because the leading coefficient is positive)
F) Symmetric with respect to the y-axis (if you look at the graph y= |x|, you see that the y-axis cuts through the middle of the "v-shape", and that it is symmetric)

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aksnkj aksnkj · Answer 2 · 2021-11-05T13:51:35+01:00

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 [tex]f(x)=\left | x \right |[/tex].

Now, modulus function is defined as,

[tex]f(x)=\left \{ {{x}; \; x\geq 0 \atop {-x};\;x< 0} \right.[/tex]

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:

https://brainly.com/question/13419189

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

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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