Question

The piecewise function f(x) has opposite expressions.
2x - 1,
x < 0
f(x) = 0,
x = 0
-2x + 1 x > 0
Which is the graph of f(x)?
Ty
t
5
3
2
20
2
1
-5 -4 -3 -2 -1
1
2
34
5
-5-4-3-2
2
3
4
5
-3-2
-2

Answer 1

Answer:

the first answer should be the one

Answer 2

Graph 2 has opposite expressions

Start by calculating the equations of the functions.

From the graphs, we have the following equations

• Graph 1: y = -|2x| + 2
• Graph 2: y= 2x -2 and y= -2x - 2
• Graph 3: y = 2x - 1 and y = -2x + 1
• Graph 4: y = -2x + 1 and y = 2x - 1

An opposite function is defined by y = f(x) and y = f(-x)

Graph 1 is an absolute value graph.

Check if y = f(x) and y = f(-x) is true for function 2.

We have:

$f(x) = 2x - 2$

$f(-x) = 2(-x) - 2$

$f(-x) = -2(x) - 2$

For graph 2, f(x) and f(-x) are true.

Hence, graph 2 has opposite expressions

Read more about opposite functions at:

https://brainly.com/question/4292846