Algebra Quiz

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No HA

What is the y-int of this function? f(x)=1/x-2 -3

Plug zero in for x then solve. Y int =-7/2

What is the x-int of this function? f(x)=1/x-2 -3

Plug zero in for y then solve. X int. =3

What is the range of this function? f(x)=1/x-2 -3

Range: All real numbers, x ≠ -3

Identify holes, VA's and HA's. F(x)=4x/x^2+2x

x=-2 VA, x=0 hole, (Hole because it makes the top zero) HA: y=0

Identify holes, VA's and HA's. F(x)=x+3/3x-9

x=3 VA, HA: y=1/3

What are the points of discontinuity? Removable or not? x^2+x-2/x^2-2x-8

x=4 non removable x=-2 removable

Identify the HA of this function. F(x)=3/x-1 +2

x≠2

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y=0

What is the equation with the asymptote's x=3 and x=-1

y=2/x-3 -1

Where do you draw the lines if the function is positive?

+,+ and -,-

Where do you draw the lines if the function is negative?

+,- and -,+

What is the domain of this function? f(x)=1/x-2 -3

Domain: All real numbers, x ≠ 2

How do you find points of discontinuity?

Factor both sides of the equation.

What are the x and y int? x^2+x-2/x^2-2x-8

For x, look at the top factors. Since the x+2 gets cancelled out the x int is 1. For y, cover up the x's and thats your answer. Y int is 1/4

For division:

Keep, Change, Flip

Identify the VA of this function. F(x)=3/x-1 +2

VA: x≠1

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Y= Leading # over Leading number