Chapter 8.2, Problem 62PPS

a.

To determine

To find: the domain of the function.

Answer to Problem 62PPS

The domain of the function is $R-\left\{0\right\}$ .

Explanation of Solution

Given information:

The function is $T\left(x\right)=4+\frac{10}{x}$ .

Calculation: the function is defined for all the value of x where,

  $x\in R-\left\{0\right\}$

Thus, the domain of the function is $R-\left\{0\right\}$ .

b.

To determine

To graph: the function for $0\le x\le 10$ .

Explanation of Solution

Given information:

The function is $T\left(x\right)=4+\frac{10}{x}$ .

Graph: to graph the function, first use the point plotting method,

$x$	$T\left(x\right)$
$2$	$9$
$4$	$6.5$
$1$	$14$

Now, by using above table and joint the point,

The graph can be obtained as:

  

Interpretation: from the above graph it can be observed that the domain of the function is $R-\left\{0\right\}$ .

c.

To determine

To find: the value of the function for $x=20,50,100,200,400$ .

Answer to Problem 62PPS

$x$	$T\left(x\right)$
$20$	$4.5$
$50$	$4.2$
$100$	$4.1$
$200$	$4.05$
$400$	$4.025$

Explanation of Solution

Given information:

The function is $T\left(x\right)=4+\frac{10}{x}$ .

Calculation: to find the value of the function for $x=20,50,100,200,400$ , substitute and simplify,

$x$	$T\left(x\right)$
$20$	$4.5$
$50$	$4.2$
$100$	$4.1$
$200$	$4.05$
$400$	$4.025$

d.

To determine

To state: that infinite number of trials is possible or not.

Answer to Problem 62PPS

Yes, infinite number of trials is possible.

Explanation of Solution

Given information:

The function is $T\left(x\right)=4+\frac{10}{x}$ .

Calculation: when the $x$ approaches to the infinity the value of $,\frac{10}{x}$ approaches to $0$ ,

Thus, the value of function is $4+0=4$ .