Graph the piecewise-defined function.
1 answer:
Answer:
We have to graph the piecewise-defined function h(x) which is given as:
h(x)= x^3 ' if x <0
and √x ' if x ≥ 0.
We could clearly see that the graph of a function is continuous since the left hand limit(L.H.L) of the function is equal to the right hand limit(RH.L.) is equal to the value of the function at x=0.
L.H.L=R.H.L=h(0)=0
Also the graph of the function h(x) in the region (-∞,) is a graph of the cubic function x^3 and the graph of the function h(x) in the region [0,∞) is the graph of the square root function √x.
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Answer:
Step-by-step explanation:
Hello!
We can use the difference of square method.
<h2>Difference Of Squares (DOS)</h2>The formula for the DOS is
It is a simple way to factor polynomials.
The criteria:
- Has to begin and end with a perfect square
- The operation has to be subtraction
Begins with a perfect square (x² * x²) and ends with a perfect square (4 * 4)
Warning! Watch out, there may be another DOS!
is another DOS
The x² + 4 is not a DOS because the operation is addition.
The final factored form is