Rational Expressions
A ratio of two polynomial expressions.
What is rational expression
A function that has an equation of the form f(x)=1/a(x), where a(x) is linear and does not = 0
What is a reciprocal function
An equation of the form f(x)=a(x)/b(x), where a(x) and b(x) are polynomial functions and b(x) is not 0
What is a rational function
The four types of variation functions
What is direct, inverse, joint, and combined
An equation that contains one or more rational expression
What is a rational equation
For what value(s) is (x+2) / (x2-4) undefined?
What is (2,-2)
Identify the asymptotes of the equation 3/(x-2)
What is VA: x=2 ; HA: f(x)=0
An asymptote that is neither horizontal nor vertical
What is an oblique asymptote
What type of variation is fg=-2
What is inverse
A method for finding the mean of a set of numbers in which some elements of the set carry importance, or weight, than others
What is a weighted average
Simplify ((8x) / (21y3)) x ((7y2) / (16x3)).
What is 1/(6x2y)
Determine the value of x where 2/(3x+24) is undefined
What is x=-8
Find the asymptotes of the equation (x2) / (x+1)
What is VA: x=-1; OA: x-1
is y varies directly as x and y=-15 when x=5, find y when x=3.
What is -9
Solve the equation (2/(z+1)) - (1/(z-1)) = -2/(z2-1)
What is no solution
A rational expression with a numerator and/or a denominator that is also a rational expression.
What is a complex fraction
State the domain and range of (1/(x+1)) +3
What is Domain: (-oo, -1)U(-1, oo) ; Range: (-oo, 2)U(2, oo)
Looks like a hole in the graph, the function is undefined at this point
What is point discontinuity
If r varies inversely as t and r=-6 when t=2, find r when t=-7
What is 12/7
Solve the equation (5/24) + (2/(3-x)) = 1/4
What is -45=x
Simplify ((5a2) / (6b)) + (9/ (14a2b2))
What is (35a4b+27) / (42a2b2)
Make a table of values for the equation (-4 / (x-2)) -1
What is x | -1 0 1 3 4 5
y | .3 1 3 -5 -3 -2.3
Find the point discontinuity at the equation (x2-4) / (x-2)
What is at x=2
If f varies directly as g, and f varies inversely as h, then find g when f=6 and h=-5, if g=18 when h=3 and f=5.
What is -36
Solve the inequality (5/x) + (6/5x) > 2/3
What is (0, 9.3)