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Which graph represents the piecewise function?

y={x+3ifx<02xifx≥0

Which graph represents the piecewise function? y={x+3ifx<02xifx≥0-example-1
User Durumdara
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1 Answer

3 votes

Answer:

Option A

Explanation:

Answer: Option A

Piecewise function is defined by different function over different intervals.

In this case, y = x + 3 when x is less than 0 (if x is negative).

y = 2x when x is greater than or equal to 0.

When x = -1, y = x + 3.

y = -1 + 3 = 2 (-1,2)

When x = -2, y = x +3

y = -2 + 3 = 1 (-2,1)

(0,3) is not a solution of the piecewise function. So, it is marked with a open dot.

This function is marked in the graph with red color.

When x ≥ 0 , y = 2x

So, for x = 0, y = 2*0 = 0 (0,0)

For x = 1 , y = 2*1 = 2 (1,2)

For x = 2, y = 2*2 = 4 (2,4)

(0,0) is a solution and so, it is marked with a solid dot.

This function is marked in the graph with blue color.

Which graph represents the piecewise function? y={x+3ifx<02xifx≥0-example-1
User Imhere
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