Algebra 2B Rational Functions Practice - Algebra 2B U3L7 Rational Functions Unit Review
Find the horizontal asymptote of the graph of y=-3x^5+5x+4/6x^5+2x+5
y=-1/2
What is the equation of the function y=3/x translated 4 units to the right and 5 units down?
y=3/x-4 -5
Suppose that y varies jointly with w and x, inversely with z, and suppose that y = 360 when w = 8, x = 15, and z = 3. Write the equation that models the relationship.
y=9wx/z
A neighborhood group wants to build a new playground using donations from residents. The amount needed from each donor varies inversely to the number of people donating. If 25 people donate, each of them would need to contribute $135. How much would each person need to contribute if 45 people donate? Round your answer to the nearest cent, if necessary.
$75.00
What is the product in simplest form? State any restrictions on the variable. x^2+9x+18/x+2*x^2-3x-10/2x+2-24
(x+3)(x-5)/x-4, x≠-6, x≠-2, x≠4
Solve the equation. a/a^2-64+3/a-8=2/a+8
-20
What is the difference in simplest form? n^2+10n+21/n^2+3n-28-3n/n-4
-2n+3/n-4
Simplify the sum d^2-9n+18/d^2+2d-15+d^2_2d-8/d^2+5d+6
2d^2-2d-38/(d+5)(d+3)
Which is equivalent to 3x/x+5-x-5/x
2x^2+25/x(x+5)
Graph the function. xy+25=0
Graph B (has rounded lines in the top left and bottom right corners)
What is the graph of the rational function? y=x^2-8x+15/x^2-4
Graph C (curved line in top left, capital L shaped line in top right, tall curved line in the bottom center)
Sketch the asymptotes and graph the function y=8/x+3-2
Graph D (curved lines with one towards the right going up and right, and one towards the left going left and down, with a center around -3, -2)
Describe the vertical asymptote(s) and hole(s) for the graph of y=x+2/x^2+8x+15
asymptotes: x -5, -3 and no holes
Simplify the complex fraction n-7/n^2+10n+24/n-1/n+6
n-7/(n+4)(n-1)
Simplify the rational expression. State any restrictions on the variable. t^2+3t-28/t^2-16
t+7/t+4, t≠4, t≠-4
Find any points of discontinuity for the rational function. y=x-5/x^2-7x-8
x=-1, x=8