The graph of a piecewise function contains numerous curve components. It signifies that it has a plethora of definitions based on the value of the input. In other words, a piecewise function behaves differently depending on the input.

We have a piecewise function shown in the picture.

$\rm y=\left\{x\le-2:\sqrt{-x-2}\right\}$

$\rm y=\left\{-2 < x < 1:\dfrac{x}{x^{2}+x-2}\right\}$

$\rm y=\left\{x\ge1:\log_{2}\left(x+1\right)\right\}$

After plotting all the pieces of a function on the coordinate plane we will get a graph the same as shown in the first option.

Thus, the graph first represents the provided piecewise function option first is correct.

Learn more about the piecewise function here:

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8 0

2 years ago

Show all work. plz

Verizon [17]

1 - For this one I am not too sure as I generally only work with values that require an unknown. This one is an unknown asking for the values to see the fraction equivalent to 3/4 however if I had to guess here it would probably be 9/12 as it asks what is equal to 3/4. 3 goes into 9 3 times and into 12 4 times so it equals 3/4. Note: 9/12 has a numerator less than the denom but so does 6/8 which is the lesser fraction and still equals 3/4.
2 - Well simply put. $\frac{5}{15} = \frac{1}{3}$
3 - For this one we have to do a bit of work.
Basically just make an equation such as n for numerator and d for denominator.
d = 2n - 4
Now all we have to do is plug in.
2 * 3 - 4 = 2
<span>2 * 6 - 4 = 8 </span>
<span>2 * 9 - 4 = 14 </span>
<span>2 * 12 - 4 = 20
</span>So now we know our numerator or n equals 12.
The denominator or d equals 20 so we would get the fraction of....
$\frac{12}{20}$

6 0

3 years ago