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fomenos
3 years ago
8

Graph this following function

Mathematics
1 answer:
Inessa05 [86]3 years ago
8 0

Answer:

Please find attached the graph of the following function;

\left\{\begin{matrix}x - 1 & if & -2 \leq x < 0\\ 1 & if  & x = 0 \\ 3 & if & 0 < x \leq 2\end{matrix}\right.

Step-by-step explanation:

We note that the function is linear from x = 2 to just before x = 0

The linear relationship of the function f(x) with x changes just before x = 0

At x = 0, the value of f(x) is indicated as 1

From just after x = 0, the function is a straight horizontal line y = 3

The function also changes value immediately after x = 0 to the line y = 3

The areas where the function is defined are shown in continuous lines

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What is the distance between parallel lines y=x+3 and y=x+1, rounded to the nearest hundredth?
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Answer:

The distance is 1.41 to nearest hundredth.

Step-by-step explanation:

The line y = x + 3 passes through the point (0, 3) on the yaxis.

Find the perpendicular line passing through this point:

y  - 3 = -1(x + 0)

y = -x + 3

Now find the point where this line intersects the line y = x + 1:

y = -x + 3

y = x + 1

-x + 3 = x  + 1

3 -1 = x + x

2x = 2

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and y = 2

So this point is (1, 2)

We require the distance between this point and (0, 3)

This = √((3-2)^2 + (0-1)^2) = √2

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