Functions on a Cartesian Plane - Page 3
Questions
- How do you decide whether the relation #3y - 1 = 7x +2# defines a function?
- Can a function have a vertical asymptote?
- What are the asymptotes of (x^2+4)/(6x-5x^2)?
- The function #f(x) = 1/(1-x)# on #RR# \ #{0, 1}# has the (rather nice) property that #f(f(f(x))) = x#. Is there a simple example of a function #g(x)# such that #g(g(g(g(x)))) = x# but #g(g(x)) != x#?
- How do you decide whether the relation #2x^2+7y^2=1# defines a function?
- How do you decide whether the relation #4x-7y=3# defines a function?
- What is the asymptote of: #f(x) = 1/x - x#?
- How do you decide whether the relation #2x + 4y = 5# defines a function?
- Does #f(x) = tan(2x)# have more asymptotes than #g(x)=tan(x)#?
- How do you decide whether the relation #7x^2+y^2=1# defines a function?
- How do you find the vertical, horizontal, and oblique asymptotes of #H(x)=(x^4+2x^2+1)/(x^2-x+1)#?
- What are the asymptotes of #f(x) = tan(2x)#?
- How do you decide whether the relation #xy=9# defines a function?
- Where is the x-axis and y-axis located?
- The point (-12, 4) is on the graph of y = f(x). Find the corresponding point on the graph of y = g(x)? (Refer to below)
- Mr. Santiago has a flight from New York to Paris that covers a distance of 3,640 miles in 7 hours. If the plane travels at the same speed per hour, how many miles will it have traveled after 4 hours?
- How would you create a #(x,y)# table for the equation #y=2x-1#?
- What are the vertical and horizontal asymptotes of #y = ((x-3)(x+3))/(x^2-9)#?
- How would you plot the point #(-4,0)# on the cartesian plane?
- How do you decide whether the relation #│2y│ = 4x# defines a function?