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Goshia [24]
3 years ago
11

Graph the piecewise-defined function.

Mathematics
1 answer:
Lady bird [3.3K]3 years ago
7 0

Answer:

We are asked to find which graph represents the graph of the piecewise-defined function g(x) given as:

g(x)= x^2-4   ;  if  x < -1

            1       ;   if  -1≤ x ≤ 1

   and   x^2+4   ; if x>1

i.e. in the region (-∞,-1) we will get a graph of a quadratic function x^2-4.

in the region [-1,1] we will get a straight line y=1.

and the region (1,∞) again we will get a graph of a quadratic function x^2+4.

Also the graph of the function is discontinuous at 1 and -1.

since the limit of the function at x=-1 and at x=1 does not exist.

As at x=-1.

Left hand limit= -3   (x^2-4; at x=-1 gives -3)

and right hand limit =1.

Whereas at x=1.

left hand limit=1

and right hand limit=5    ( x^2+4=1+4 )

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There are 1,61 kilometers in a mile or more correctly 1,60934 kilometers in a mile. 
<span>But first, a short history.... Both kilometers and miles are units of measurement. They are used to measure distance. Miles are part of the imperial measurement system and kilometers are part of the metric measurement system. </span>
To calculate how many miles a person will run during a 10-kilometer race, you need to divide 10 kilometers by 1,61 miles (1,60934 rounded up to two digits).

Therefore your equation is as follows:

10÷1,61 or 10 000 meters ÷ 1 610 metres 
1000 meters is equal to 1 kilometer. 

The answer = 6, 21 miles. 

Therefore, a person who runs 10 kilometers will run 6,21 miles





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3 years ago
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Step-by-step explanation:

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Determine the domain and range of the function . f(x)=2 3√ 108^2x {x| all real numbers}; {y| y &gt; 0} {x| all real numbers}; {y
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Answer:

Domain : {x | all real numbers} ; Range: {y | y > 0}

Step-by-step explanation:

The function can be written as :

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Now, since x is exponent so it can take any real values. So, its domain of f(x) is all real numbers

But value of f(x) can not be less than 1 because for x = 0 the value of f(x) is 1 and also for any values of x, the value of f(x) can never be less than 1

So, Range of f(x) is all real numbers greater than 0

Hence, Domain and Range of f(x) is given by :

Domain : {x | all real numbers} ;

Range: {y | y > 0}

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Answer:

V=301.44\ \text{mm}^2

Step-by-step explanation:

Given that,

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Radius of the cylinder, r = 4 mm

We need to find the volume of the cylinder. The formula for the radius of the cylinder is given by :

V=\pi r^2 h

Putting given values,

V=3.14\times (4)^2 \times 6\\\\V=301.44\ \text{mm}^2

So, the volume of the cylinder is 301.44\ \text{mm}^2.

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Answer:

ASA

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