Chapter 6.4, Problem 40PPS

(a)

To determine

To graph:For the given polynomial function.

Explanation of Solution

Given information:

The given function is $f\left(x\right)=0\cdot 015x^4-0\cdot 44x^3+3\cdot 46x^2-2\cdot 7x+9\cdot 68$ .

Graph:

The graph for the given function is shown in figure (1).

  

Figure (1)

Interpretation:Graph for the given polynomial function is shown in figure (1).

(b)

To determine

To find: The end behavior of the graph.

Answer to Problem 40PPS

The value of $x$ increases, the value of $f\left(x\right)$ will also increases

Explanation of Solution

Given information:

The given function is $f\left(x\right)=0\cdot 015x^4-0\cdot 44x^3+3\cdot 46x^2-2\cdot 7x+9\cdot 68$ .

Calculation:

From the graph shown in figure (1), as the value of $x$ increases, the value of $f\left(x\right)$ will also increases.

Therefore, the value of $x$ increases, the value of $f\left(x\right)$ will also increases

(c)

To determine

To find: The end behaviorsuggest about the number of the paper subscribers.

Answer to Problem 40PPS

The number of paper subscribers will increases dramatically and continue to increases.

Explanation of Solution

Given information:

The given function is $f\left(x\right)=0\cdot 015x^4-0\cdot 44x^3+3\cdot 46x^2-2\cdot 7x+9\cdot 68$ .

Calculation:

From the graph shown in figure (1), that the number of paper subscribers will increases dramatically and continue to increases.

Therefore, the number of paper subscribers will increases dramatically and continue to increases.

(d)

To determine

To find:Whether the trend continue indefinitely.

Answer to Problem 40PPS

The graph is reasonable for $x\ge 15$ since pager use is currently decreasing rapidly and pagers have been replaced by more efficient products.

Explanation of Solution

Given information:

The given function is $f\left(x\right)=0\cdot 015x^4-0\cdot 44x^3+3\cdot 46x^2-2\cdot 7x+9\cdot 68$ .

Calculation:

From the graph shown in figure (1), the graph is reasonable for $x\ge 15$ since pager use is currently decreasing rapidly and pagers have been replaced by more efficient products.

Therefore, the graph is reasonable for $x\ge 15$ since pager use is currently decreasing rapidly and pagers have been replaced by more efficient products.