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Which graph represents the function f(x) = -x] – 2?
C D
Ty
TY
5
5
4
3
2
2
5
1
-5-4-3-2
V2
3
4
5
X
1,
-1
1112
2
2
2
4
2
-544
2-1
12
4 5
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Which graph represents the function fx x 2 C D Ty TY 5 5 4 3 2 2 5 1 5432 V2 3 4 5 X 1 1 1112 2 2 2 4 2 544 21 12 4 5 Save and Exit Next Submit Mark this and re class=

Respuesta :

Answer:

the one on the right

Step-by-step explanation:

pick a random x. I chose 3. insert it into the function and you get f(x) = -|3| - 2 which solves to -5. so look at the graphs to see which one passes through the point (3, -5). The one on the right is the only one that does.

The graph that represents [tex]f(x) = |x| -2[/tex] is graph (a)

The equation of the graph is represented as:

[tex]f(x) = |x| -2[/tex]

The above function is an illustration of an absolute value function.

An absolute value function is represented as:

[tex]f(x) = a|x - h| + k[/tex]

Where, the vertex of the function is represented by (h,k).

So, by comparing:

[tex]f(x) = a|x - h| + k[/tex] and [tex]f(x) = |x| -2[/tex]

We have:

[tex](h,k) = (0,-2)[/tex]

This means that, the function f(x) has a vertex of (0,-2)

Hence, the graph that represents [tex]f(x) = |x| -2[/tex] is graph (a)

Read more about absolute value function at:

https://brainly.com/question/3381225

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