Question

NEED HELP ON THIS!!!!

Answer 1

Answer:

Its graph has a V-shape

There are two inputs for which the output is $5$

The vertex of its graph is at $(0, -2)$

Step-by-step explanation:

we have

$y=\left|x\right|-2$

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------> $(-2,2)$

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 $0$

The statement is false

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

For $x=-2$ and $x=2$

case D) There are two inputs for which the output is $5$

The statement is true

For $x=-7$ and $x=7$

case E) The vertex of its graph is at $(0, -2)$

The statement is true

see the graph

Answer 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.