you're welcome? part 2

For the inverse variation equation xy = k, what is the constant of variation, k, when x = 7 and y = 3?

21

The universal gas law, pV = nRT, describes the relationship among the pressure, volume, and temperature of a gas.

8.31

The graph of the function is shown below. What is the vertical asymptote of the function?

Maybe -2

The graph of the function is f(x)= 3/x+5 shown below:

Maybe -5

Use the inverse variation equation to fill in the table. p = 8.31V

a=.1, b=20.775, c=0.02

identify the vertical asymptote(s) of each function. Check all of the boxes that apply.

x= 1 and 2

Where is the vertical asymptote(s)?

It's just -1

Test starts here: The graph of the function is f(x)=6/x-3 is shown below:

Maybe 3

Which functions have removable discontinuities (holes)? Check all of the boxes that apply.

Option A, B, and D

What happens as x approaches zero from the positive direction? What happens as x approaches zero from the negative direction?

f(x) get's larger f(x) get's larger in the negative direction

What are the vertical asymptotes of f(x)=10/x^2-1?

-1 and 1

For the inverse variation equation , what is the value of V when p = 4?

Option C

Identify the vertical asymptote of the function. The vertical asymptote is at x

8

What is the domain of the function?

Option D

What happens to the pressure as the volume approaches 0? Explain your reasoning.

When the volume reaches 0, the pressure will start to approach infinity and the function and asymptote will be v=0.

Wavelength varies inversely with frequency. Let k be the product of wavelength and frequency. Complete the table using the inverse variation relationship.

a=670, b=301,600, c=560

Complete the table of values for the function f(x) = 1/x .

-1, -10, -100, -1000, 1000, 100, 10, 1

Find the dicontinuities of the function.f(x) = x2 + 12x + 27x2 + 4x + 3.There is a removable discontinuity at

-3 and -3

f(x)=3x/x^2-16

-4 and 4

The force of gravity between two objects is given by Fg = −Gm1m2r2 , where G is the gravitational constant, m1 and m2 are the masses of the objects, and r is the distance between the objects' centers. Find the vertical asymptote of the graph of the function and explain its meaning in context

Examine the denominator and find the r=0. You will continue to find the vertical asymptote, which is at r=0. When the distance between both sides start to approach each other towards 0, the gravitational will become infinity.

Wavelength varies inversely with frequency. Let x = wavelength and y = frequency. The equation that models the relationship between the wavelength and frequency of yellow light is:

Option D

Identify whether each value of x is a discontinuity of the function by typing asymptote, hole, or neither. 5xx3 + 5x2 + 6x

In this order: asymptote, asymptote, hole, neither, neither, neither

What are the removable discontinuities of the following function? f(x)=x^2-36/x^3-36x

Option B

Which statement is true about the discontinuities of the function f(x)?

Option B

Which of the following statements are true of this rational function? Check all of the boxes that apply.

Option B and E

Consider the table representing a rational function. undefined Which equation could represent a vertical asymptote of the graph of the function?

Option C

Gamma-Rays Frequency = 40 Hz Wavelength = 300,000

Option C

The speed, s, of the current in a certain whirlpool is modeled by , where d is the distance from the center of the whirlpool. Which statement is true?

Option C

Identify the vertical asymptote and the hole on the graph of the function f(x) = x2 + x − 6x2 − 6x + 8.

There is a asymptote at x=4 There is a hole at (2,-2.5)