Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Offsite Campus Turito Championship

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Maths-

General

Easy

Question

Which function has a graph with a vertical asymptote at x = 3? Select all that apply .

$F (x) = \frac{x - 2}{x^{2} + 2 x - 15}$
$F (x) = \frac{x - 3}{12 + 7 x + x^{2}}$
$F (x) = \frac{x^{2} - 9}{x + 9}$
Non of the above

The correct answer is: $straight F left parenthesis straight x right parenthesis equals fraction numerator x minus 2 over denominator x squared plus 2 x minus 15 end fraction$

a)    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 .
x² + 2x - 15= 0
x² + 5x -3x - 15= 0
x(x + 5) – 3(x + 5)
(x + 5) (x - 3)
x = -5 and x = 3
The vertical asymptote of the rational function is x =-5 and x =3
b)    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 .
x² + 7x + 12= 0
x² + 4x + 3x + 12= 0
x(x + 4) + 3(x + 4)
(x + 4)(x + 3)
x = -4 and x = -3
The vertical asymptote of the rational function is x =-4 and x = -3.
c)    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 + 9 = 0
x = -9
Function
a. $straight F left parenthesis straight x right parenthesis equals fraction numerator x minus 2 over denominator x squared plus 2 x minus 15 end fraction$ has vertical asymptote at x = 3.

Related Questions to study

Which function has a graph with a horizontal asymptote at y = -1.

Which function has a graph with a horizontal asymptote at y = -1.

After diluting salt water, the concentration of salt in the water is given by the function $f left parenthesis x right parenthesis equals fraction numerator 0.5 x over denominator x squared minus 1 end fraction$ , where x is the time in hours since the dilution .
a. What is the concentration of salt in the water after 4 hours?

After diluting salt water, the concentration of salt in the water is given by the function $f left parenthesis x right parenthesis equals fraction numerator 0.5 x over denominator x squared minus 1 end fraction$ , where x is the time in hours since the dilution .
a. What is the concentration of salt in the water after 4 hours?

A Software CD can be manufactured for $straight $ 0.10$ each. The development cost to produce the software is $straight $ 500 comma 000.$ . 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

A Software CD can be manufactured for $straight $ 0.10$ each. The development cost to produce the software is $straight $ 500 comma 000.$ . 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

parallel

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 $f left parenthesis x right parenthesis equals fraction numerator x plus 10 over denominator x plus 25 end fraction$

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 $f left parenthesis x right parenthesis equals fraction numerator x plus 10 over denominator x plus 25 end fraction$

Which function has a graph with a horizontal asymptote at y = -1.
$text a. end text straight F left parenthesis straight x right parenthesis equals fraction numerator x plus 5 over denominator x minus 3 end fraction$

Which function has a graph with a horizontal asymptote at y = -1.
$text a. end text straight F left parenthesis straight x right parenthesis equals fraction numerator x plus 5 over denominator x minus 3 end fraction$

Graph the function, labelling all horizontal or vertical asymptotes of the form x =a or y = b
$straight F left parenthesis straight x right parenthesis equals fraction numerator 6 x squared minus 12 x over denominator x squared plus 5 x minus 24 end fraction$

Graph the function, labelling all horizontal or vertical asymptotes of the form x =a or y = b
$straight F left parenthesis straight x right parenthesis equals fraction numerator 6 x squared minus 12 x over denominator x squared plus 5 x minus 24 end fraction$

parallel

Graph the function, labelling all horizontal or vertical asymptotes of the form x = a or y = b
$F left parenthesis x right parenthesis equals fraction numerator x squared plus x minus 2 over denominator 2 x squared minus 9 x minus 18 end fraction$

Graph the function, labelling all horizontal or vertical asymptotes of the form x = a or y = b
$F left parenthesis x right parenthesis equals fraction numerator x squared plus x minus 2 over denominator 2 x squared minus 9 x minus 18 end fraction$

Graph the function, labelling all horizontal or vertical asymptotes of the form x = a or y = b
$straight F left parenthesis straight x right parenthesis equals fraction numerator 2 x minus 1 over denominator x squared minus 3 x minus 10 end fraction$

Graph the function, labelling all horizontal or vertical asymptotes of the form x = a or y = b
$straight F left parenthesis straight x right parenthesis equals fraction numerator 2 x minus 1 over denominator x squared minus 3 x minus 10 end fraction$

Graph the function
$fraction numerator 3 x over denominator x minus 1 end fraction$

Graph the function
$fraction numerator 3 x over denominator x minus 1 end fraction$

parallel

Graph the function, labelling all horizontal or vertical asymptotes of the form x = a or y = b
$F left parenthesis x right parenthesis equals fraction numerator x plus 4 over denominator 2 x squared minus 13 x minus 7 end fraction$

Graph the function, labelling all horizontal or vertical asymptotes of the form x = a or y = b
$F left parenthesis x right parenthesis equals fraction numerator x plus 4 over denominator 2 x squared minus 13 x minus 7 end fraction$

Graph each function
$straight F left parenthesis straight x right parenthesis equals fraction numerator negative 1 over denominator straight x plus 3 end fraction$

Graph each function
$straight F left parenthesis straight x right parenthesis equals fraction numerator negative 1 over denominator straight x plus 3 end fraction$

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 $f left parenthesis x right parenthesis equals fraction numerator 200 comma 000 x over denominator x squared plus 150 end fraction$ . On Approximately which day will the daily sales be $straight $ 3 comma 000$ ?

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 $f left parenthesis x right parenthesis equals fraction numerator 200 comma 000 x over denominator x squared plus 150 end fraction$ . On Approximately which day will the daily sales be $straight $ 3 comma 000$ ?

parallel

Identify the vertical and horizontal asymptotes of each rational function.
$straight F left parenthesis straight x right parenthesis equals fraction numerator 5 x squared minus 19 x minus 4 over denominator 2 x squared minus 2 end fraction$

Identify the vertical and horizontal asymptotes of each rational function.
$straight F left parenthesis straight x right parenthesis equals fraction numerator 5 x squared minus 19 x minus 4 over denominator 2 x squared minus 2 end fraction$

Graph the function
$F left parenthesis x right parenthesis equals fraction numerator 2 x minus 3 over denominator 3 x plus 4 end fraction$

Graph the function
$F left parenthesis x right parenthesis equals fraction numerator 2 x minus 3 over denominator 3 x plus 4 end fraction$

Identify the vertical and horizontal asymptotes of each rational function.
$straight F left parenthesis straight x right parenthesis equals fraction numerator 4 straight x plus 3 over denominator straight x squared minus 4 end fraction$

Identify the vertical and horizontal asymptotes of each rational function.
$straight F left parenthesis straight x right parenthesis equals fraction numerator 4 straight x plus 3 over denominator straight x squared minus 4 end fraction$

parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.