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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CHECK THE ATTACHMENT FOR THE FIGURE OF THE QUESTIONS
Answer:
Option A. is correct x = 4
Step-by-step explanation:
From the given figure
The adjacent of the given right angle triangle is
8 units which is the base,
Then x units is the opposite of the right angle triangle which is the height.
The hypotenuse side also has x units
Then value of x is required,
But going by right angle triangle trigonometry
cos(x) = adjacent / hypotenuse
Where adjacent= 8 unit
cos( 60) = 8/x
1/2 = 8/x
x = 8/2
= 4unit
Hence, Option A is correct, with 4 units
