NEED HELP ON THIS!!!!

Which statements are true for the function y = |x| - 2? (the function is in image) Select all that apply. THERE'S MORE THAN ONE OPTION!

The value of the function is never negative.
Its graph has a V-shape.
There is only one input for which the output is 0.
There are two inputs for which the output is 5.
The vertex of its graph is at (0, -2).

The value of the function is negative from -2 to 2, so A is false. The graph is shaped like a V, so B is true. y equals 0 twice, at -2 and 2, so C is false. y is 5 twice, at -7 and 7, so D is true. The vertex, or the sharp turn, is at (0,-2), so E is true. This means your answers are B, D, and E.

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calculista calculista · Answer 2 · 2018-11-29T20:34:53+01:00

Answer:

Its graph has a V-shape

There are two inputs for which the output is [tex]5[/tex]

The vertex of its graph is at [tex](0, -2)[/tex]

Step-by-step explanation:

we have

[tex]y=\left|x\right|-2[/tex]

Statements

case A) The value of the function is never negative.

The statement is false

The value of the function is negative in the interval------> [tex](-2,2)[/tex]

case B) Its graph has a V-shape

The statement is true

See the graph

case C) There is only one input for which the output is [tex]0[/tex]

The statement is false

There are two inputs for which the output is equal to zero

For [tex]x=-2[/tex] and [tex]x=2[/tex]

case D) There are two inputs for which the output is [tex]5[/tex]

The statement is true

For [tex]x=-7[/tex] and [tex]x=7[/tex]

case E) The vertex of its graph is at [tex](0, -2)[/tex]

The statement is true

see the graph