Maths-
General
Easy
Question
A Software CD can be manufactured for 
each. The development cost to produce the software is 
. The first 200 CDs were used by testers to test the functionality of the software and were not sold.
a .Write a function f for the average cost , in dollars , of a sellable software CD , where x is the number of sellable software CDs
b. What are the vertical asymptotes of the graph ?
c. Graph the function
Hint:
A rational function is a function that is the ratio of polynomials. Any function of one variable, x, is called a rational function if, it can be represented as f(x) = p(x)/q(x), where p(x) and q(x) are polynomials such that q(x) ≠ 0.
Rational functions are of the form y=f(x)y=fx , where f(x)fx is a rational expression .
- If both the polynomials have the same degree, divide the coefficients of the leading terms. This is your asymptote.
- If the degree of the numerator is less than the denominator, then the asymptote is located at y = 0 (which is the x-axis).
- If the degree of the numerator is greater than the denominator, then there is no horizontal asymptote.
The correct answer is: The vertical asymptote of the rational function is x=0 .We will find more points on the function and graph the function.
We have given that A Software CD can be manufactured for $0.10 each. The development cost to produce the software is $500,000. The first 200 CDs were used by testers to test the functionality of the software and were not sold.
X is the number of sellable software
As the total cost = $500000
And each CD costs $0.10
So, the function will be.
F(x) = (500000/x)+0.1(x+200) = (500000 + 0.1x2 + 20x) / x
The vertical asymptote of a rational function is x -value where the denominator of the function is zero. Equate the denominator to zero and find the value of x .
x = 0
The vertical asymptote of the rational function is x=0 .We will find more points on the function and graph the function.
x
y
600
913.333
2000
470
100
5030
X
Y
-800
-685
-4000
-505
-100
-4990
From the graph we can analyze that the vertical asymptote of the rational function is x= 0 and degree of the numerator is greater than the denominator, then there is no horizontal asymptote
So, the function will be.
F(x) = (500000/x)+0.1(x+200) = (500000 + 0.1x2 + 20x) / x
The vertical asymptote of a rational function is x -value where the denominator of the function is zero. Equate the denominator to zero and find the value of x .
x = 0
The vertical asymptote of the rational function is x=0 .We will find more points on the function and graph the function.
Related Questions to study
Maths-
Amaya made 10 three point shots out of 25 attempts. If she then goes on to make consecutive three point shots, her success would be given by the function
Amaya made 10 three point shots out of 25 attempts. If she then goes on to make consecutive three point shots, her success would be given by the function
Maths-General
Maths-
Which function has a graph with a horizontal asymptote at y = -1.
Which function has a graph with a horizontal asymptote at y = -1.
Maths-General
Maths-
Graph the function, labelling all horizontal or vertical asymptotes of the form x =a or y = b
Graph the function, labelling all horizontal or vertical asymptotes of the form x =a or y = b
Maths-General
Maths-
Graph the function, labelling all horizontal or vertical asymptotes of the form x = a or y = b
Graph the function, labelling all horizontal or vertical asymptotes of the form x = a or y = b
Maths-General
Maths-
Graph the function, labelling all horizontal or vertical asymptotes of the form x = a or y = b
Graph the function, labelling all horizontal or vertical asymptotes of the form x = a or y = b
Maths-General
Maths-
Graph the function
Graph the function
Maths-General
Maths-
Graph the function, labelling all horizontal or vertical asymptotes of the form x = a or y = b
Graph the function, labelling all horizontal or vertical asymptotes of the form x = a or y = b
Maths-General
Maths-
Graph each function
Graph each function
Maths-General
Maths-
An owner tracks her sales each day since opening her marketing company. The daily sales, in dollars, after day x is given by the function 
. On Approximately which day will the daily sales be 
?
An owner tracks her sales each day since opening her marketing company. The daily sales, in dollars, after day x is given by the function . On Approximately which day will the daily sales be ?
Maths-General
Maths-
Identify the vertical and horizontal asymptotes of each rational function.
Identify the vertical and horizontal asymptotes of each rational function.
Maths-General
Maths-
Graph the function
Graph the function
Maths-General
Maths-
Identify the vertical and horizontal asymptotes of each rational function.
Identify the vertical and horizontal asymptotes of each rational function.
Maths-General
Maths-
Identify the vertical and horizontal asymptotes of each rational function.
Identify the vertical and horizontal asymptotes of each rational function.
Maths-General
Maths-
Maths-General
Maths-
Identify the vertical and horizontal asymptotes of each rational function.
Identify the vertical and horizontal asymptotes of each rational function.
Maths-General
