= -

Step: 1

= -

[Write the function.]

Step: 2

The graph of the given piecewise function will be in two pieces.

Step: 3

The function f (x ) = - cos x , if x ≤ 0, indicates that the graph begins when x = 0, and is to the left of the origin as shown.

Step: 4

The function f (x ) = - e ^{x}, if x > 0, indicates that the graph begins when x > 0, which is to the right of the origin as shown.

Step: 5

Therefore, graph 1 represents the given piecewise function.

Correct Answer is : Graph 1

= 3

= 1 - 2

Step: 1

= 3

= 1 - 2

[Write the function.]

Step: 2

The graph of the given piecewise function will be in three pieces.

Step: 3

The function y = 4, if x ≤ 0 indicates that the graph is parallel to x axis at y = 4, begins when x = 0, and is to the left of the origin as shown.

Step: 4

The function y = 3x , if 0 < x ≤ 1 indicates that the graph begins when x > 0 and it touches y = 3 at x = 1, which is to the right of the origin as shown.

Step: 5

The function y = 1 - 2x , if 1 < x < ∞ indicates that the graph begins when x > 1, which is to the right of the orgin as shown.

Step: 6

Therefore, graph 2 represents the given piecewise function,

Correct Answer is : Graph 2

=

= 5 - 2

Step: 1

=

= 5 - 2

[Write the function.]

Step: 2

The graph of the given piecewise function will be in three pieces.

Step: 3

The function y = 2, if x ≤ 0 indicates that the graph is parallel to x axis at y = 2, begins when x = 0, and is to the left of the origin as shown.

Step: 4

The function y = x + 1 if 0 < x ≤ 3 indicates that the graph begins when x > 0 and it touches y = 4 at x = 3, which is to the right of the origin as shown.

Step: 5

The function y = 5 - 2x , if 3 < x < ∞ indicates that the graph begins when x > 3, which is to the right of the origin as shown.

Step: 6

Therefore, graph 3 represents the given piecewise function.

Correct Answer is : Graph 3

= - 3 if

Step: 1

= - 3 if

[Write the function.]

Step: 2

The graph of the given piecewise function will be in two pieces.

Step: 3

The function y = 3, if x ≤ 0 indicates that the graph is parallel to x axis at y = 3, begins when x = 0, and is to the left of the origin as shown.

Step: 4

The function y = - 3, if x > 0 indicates that the graph is parallel to x axis at y = -3, begins when x > 0, which is to the right of the origin as shown.

Step: 5

Therefore, graph 4 represents the given piecewise function.

Correct Answer is : Graph 4

= 2 if

Step: 1

= 2 if

[Write the function.]

Step: 2

The graph of the given piecewise function will be in two pieces.

Step: 3

The graph of the function y = x - 3, if x ≤ 2, is as shown.

Step: 4

The function y = 2, if x > 2 indicates that the graph is parallel to x axis at y = 2, begins when x > 2, which is to the right of the origin as shown.

Step: 5

Therefore, graph 1 represents the given piecewise function.

Correct Answer is : Graph 1

=

= 8 - 3

Step: 1

=

= 8 - 3

[Write the function.]

Step: 2

The graph of the given piecewise function will be in three pieces.

Step: 3

The function y = 3, if x ≤ 0 indicates that the graph is parallel to x axis at y = 3, begins when x = 0, and is to the left of the origin as shown.

Step: 4

The function y = x - 1 if 0 < x ≤ 2 indicates that the graph begins when x > 0 and it touches y = 1 at x = 2, which is to the right of the origin as shown.

Step: 5

The function y = 8 - 3x if 2 < x < ∞ indicates that the graph begins when x > 2, which is to the right of the origin as shown.

Step: 6

Therefore, graph 2 represents the given piecewise function.

Correct Answer is : Graph 2

=

Step: 1

=

[Write the function.]

Step: 2

The graph of the given piecewise function will be in two pieces.

Step: 3

The graph of the function y = |x |, if x ≤ 0, is as shown.

Step: 4

The graph of the function y = x ^{2}, if x > 0 , is as shown.

Step: 5

Therefore, graph 4 represents the given piecewise function.

Correct Answer is : Graph 4

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