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