Is It Inverse?
Graphs!
Writing Inverse
Asymptotes
Domain and Range
100

y=-2x

No it is DIRECT variation.


100

How will the 2 in the numerator affect the graph?

y = 2/(x-3) + 7

What is a vertical stretch?

100

The variables x and y vary invsersely and y = 6 when x = 4. What is the constant of variation?

What is 24?

100

What are the asymptotes of

y = 2/(x-1) + 2

x = 1 and y = 2

100

What is the domain of the following equation:

y = 2/(x-1) + 2

x is all values except x=1 

{x|x!=1}

200

xy = 5

Yes it is inverse variation.

200

How will the 3 in the denominator affect the graph? 

y = 2/(x+3) - 7

What is a horizontal shift left 3?

200

The variables x and y vary inversely and 

x=4/3,y=3/5

. What is the constant of variation?

What is 

4/5

200

What are the asymptotes of

y = (1/x) + 8

x = 0 and y = 8

200

What is the range of the following equation:

y = 2/(x-1) + 2

y can be all values except 2 : 

{y|y!=2}

300

y = x + 5

Not inverse variation.

300

How will the 7 outside the fraction affect the graph?

y = 2/(x + 3) + 7

What is a vertical shift up 7?

300

write an equation where x and y vary inversely when 

x=2/13:y=13

y = 2/x

300

What are the asymptotes of

f(x)=(x^2-x+2)/(x-2)

vertical asymptote at x=2 and slant asymptote at 

y=x+1

300

what is the domain and range of the following function:

y=2/(x+4)-3

{x|x!=-4},{y|y!=-3}

400

x = 8/y

Yes, inverse variation with a = 8?

400

How will the 6 in the denominator affect the graph?

y = 1/((-6)(x-2)) + 6

What is a horizontal shrink and a reflection across y-axis?

400

Write an equation where x and y vary inversely when

x=3/4,y=4/5

a=3/5

y=(3/5)/(x)

400

Write an equation whose graph is a hyperbola that has the given asymptotes and passes through the given point.

x = 7, y = 8; second point is (-6, 0)

y = -8(1/((-1/13)(x-7))) + 8

400

You can use what parameters to help you find the domain and the range?

f(x)=a(1/(x-h))+k

h helps your find the domain and k helps you find the range.

500

(y/x) = 4

No, direct variation

500

How will the 10 in the numerator affect the graph?

y = -10/(x-10) + 10

What is a vertical stretch by 10 and a reflection across the x-axis?

500

Find y when x and y vary inversely when

x=3/4,y=4/5

x=6

y=(5/3)/(6)

y=1/10

500

Write an equation whose graph is a hyperbola (inverse variation) that has the given asymptotes and passes through the given point.

x = -4, y = -4; second point(-8, 3)

y = 7(1/((-1/4)(x+4))) - 4

500

fill in the sentence: The denominator is never allowed to equal __________.

ZERO