Polynomial Functions
The degree of
f(x)=5x^4-3x^2-7
What is 4?
The domain of g(x)=(x+3)/(x-4
What is
(-oo,4) uu (4, oo)?
The simplification of root(3)(48
What is
2 root(3)(6)?
The asymptote of f(x)= 4(1/2)^x-3 .
What is
y=-3 "
This is the simplification of log_3(1/27)
What is
-3?
The height of a rocket is given by:
s(t)=-16t^2+88t+48
This is the time at which the rocket reaches its maximum height.
What is 2.75 seconds?
The solution(s) to 2/(x+2)+1/(x+4)=4/(x^2+6x+8)
What is
O/ ?
This is equivalent to k/(sqrt(k)-3 after rationalizing the denominator
What is
(k(sqrt(k) +3))/(k-9) ?
The solution(s) of 2^(2x-3)=8
What is
x=3 ?
This is the expansion of
log _7(sqrt(x^3y^5))
What is 1/2(3log_7x+5log_7y) ?
The solution of the inequality (x-2)^2(x+4)(2x-1)>=0
What is (-oo, -4] uu[1/2,oo)
This is the simplification of (3r^3-9r^2)/(r^2-9) -:(8r^3)/(r+3)
What is
3/(8r) ?
The x-intercept(s) of f(x)=root(3)(x-2) +3
What is (-25, 0)?
The intercept(s) of f(x)= 2*3^(x-1)-6
What are (0, -5 1/3) and (2, 0)
This is the exact solution of the equation
5^(2x+3)=23
What is x=(log_5(23)-3)/2 ?
The quotient
(x^3+x^2-11x-10)/(x-3)
What is
x^2 +4x+1-7/(x-3 ?
This ordered pair represents the removable discontinuity of f(x)=(x^2-1)/(x^2+4x-5).
What is
(1 , 1/3) ?
The simplification of root(4)(32x^5y^19
What is
2abs(x)y^4root(4)(2xy^3)?
These are the transformations from the parent function that produce the graph
f(x)= 2*3^(4-x)+5
What are a vertical stretch of 2, a reflection across the y-axis, a horizontal shift 4 units to the right and a vertical shift 5 units up?
These are the exact solutions to the equation
e^(2x)+2e^x-8=0.
What is x=ln 2 ?
The other zeros of f(x)=2x^4-x^3+7x^2-4x-4 given that 1 and -2i are zeros.
What are
-1/2 and 2i ?
The asymptote(s) of the rational function (2x^2+x-6)/(x-1) .
What are
x=1 and y=2x+3
The solution(s) of the equation sqrt(5x-15)-sqrt(x+1)=2.
x=8
The solution(s) of the equation 27root(3)(9)=(1/81)^(2x+1)
What is
-23/24
This is the half-life (to the nearest hour) of an isotope if 100g decays to 80g in 5 hours.
(Use your calculator and the equation
P=P_0e^(rt).)
What is 16 hours?