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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

Type the correct answer in each box. Use numerals instead of words. If necessary, use-example-1
User Wexxor
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2 Answers

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Answer:

2x for upper rectangle, 3 for lower rectangle.

Explanation:

y=2x , the slope = 2 if -3≤x<0

y=3 1/2<x<3/2

User Guillefix
by
7.8k points
1 vote

Answer:

Piecewise function:


f(x)=\left\{\begin{matrix}2x &amp;\ \ \ \text{ if }-3\leq x<0\\3&amp;\ \ \ \text{ if }(1)/(2)<x<(3)/(2)\end{matrix}\right.

Explanation:

Given: Piece wise function graph.

We need to find the function.

In graph we can see two piece

For -3≤x≤0

End points on graph (-3,-6) and (0,0)


y-0=(6)/(3)(x-0)


y=2x


\text{For } (1)/(2)<x<(3)/(2)

It is horizontal line. The equation of horizontal line is y=k.

Equation: y=3

Now, we write as piecewise function.


f(x)=\left\{\begin{matrix}2x &amp;\ \ \ \text{ if }-3\leq x<0\\3&amp;\ \ \ \text{ if }(1)/(2)<x<(3)/(2)\end{matrix}\right.

First blank = 2x

Second Blank = 3

User Divyanshu Das
by
7.7k points

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