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3 years ago

Express the function graphed below

Mathematics

1 answer:

Talja [164]3 years ago

4 0

9514 1404 393

Answer:

$y=\left\{ \begin{array}{rc} {-x+3, &\text{for $x-2$}}}\end{array} \right.$

Step-by-step explanation:

The line to the upper left has a slope of -1. If it were extended, it would intersect the y-axis at y=3, so its equation is ...

y = -x +3

The line to the upper right has a slope of +1 and a y-intercept of 4, so its equation is ...

y = x + 4

At x=-2, the function is defined as -2.

So, the piecewise definition is ...

$y=\left\{ \begin{array}{rc} {-x+3, &\text{for $x-2$}}}\end{array} \right.$

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This problem a bit annoying, but let's classify the numbers and see where we can get from there:

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3 years ago

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Step-by-step explanation:

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2 years ago

Express the function graphed below​

Express the function graphed below