| 5.1 Direct and Inverse Variations | 5.2 Graphing Rational Functions | 5.3 |
|---|---|---|
|
Tell whether x and y vary inversely, directly, or neither.
xy=1/4
Inversely.
|
What is the domain of the following equation:
y=x/(x^2−9)
All Real, x≠3 or -3
|
|
|
x and y vary directly. Write an equation that relates the variable and find x when y= -5.
y=5/4 x=5/2
x=ky
k=2 x= -10 |
What is the x-intercept(s) of the following equation:
y= (x^3-27)/2x
x-intercept: (3,0)
|
|
|
Does x vary jointly with y and z in the following equation:
5x=4yz
Yes.
|
What is the domain of the following equation:
y= (2x^2+x)/(x^2+1)
Domain: All Real
|
|
|
x and y vary inversely. Write and equation relating x and y, then find y when x=4
x= -2/3 y=6
y=k/x
k= -4 y= -1 |
What is the domain and intercepts of the following equation:
y= (x+5)/(x^2-4)
Domain: All Real, x≠ 4, -4
x-intercept(s): (-5,0) y-intercept: (0,-5/4) |
|
|
z varies jointly with x and y. Write an equation relating x, y, and z. find z when x= -4 and y=7
x=5/6 y=3/10 z=8
z=kxy
k=32 z= -896 |
What is the domain, x-intercept(s), y-intercept, vertical asymptote, and horizontal asymptote of the following equation:
y= (2x^2-9x-5)/(x^2-16)
Domain: All real, x≠ 4, -4; x-intercept(s): (-.5,0) (5,0);
y-intercept: (0,5/16); Vertical Asymptote: x=4 and x= -4 Horizontal Asymptote: y=2 |
|
Support Us on Ko-fi