3 years ago

What is the domain of the following parabola? (5 points)

Mathematics

1 answer:

nikitadnepr [17]3 years ago

6 0

Answer:

the domain for this parabola is all real numbers

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3 years ago

Find the range of the following piecewise function.

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$\huge\boxed{[-5;\ -2)\ \cup\ [3;\ 13)}$

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The following piecewise functions are linear functions. The graph of any of them is a line segment.

We just need to calculate the value of the function at each end specified in the brace.

$y=3x-2\ \text{if}\ -1\leq x$

Substitute x =-1 and x = 0:

$x=-1\\y=3(-1)-2=-3-2=-5\\\\x=0\\y=3(0)-2=0-2=-2$

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Substitute x =0and x = 5:

$x=0\\y=2(0)+3=0+3=3\\\\x=5\\y=2(5)+3=10+3=13$

Range of this piece is [3; 13)

Therefore the range of the following piecewise function is:

$[-5;\ -2)\ \cup\ [3;\ 13)$

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