Describe whether the function below is increasing or decreasing AND whether it's RATE is increasing or decreasing.
This functions is increasing at a decreasing rate.
What is the x-value of the hole in the function
f(x)=(x^2-4)/(x^2+5x+6)
x=-2
Does the following function display exponential decay or exponential growth?
f(x)=5(11/10)^x
Exponential growth
Evaluate:
log_5(1/25)
-2
Which planet is larger, Jupiter or Mercury?
Jupiter
Describe the end behavior of the function below as the x-values decrease without bound. Use limit notation.
f(x)=-3x^3 +5x-1
lim_(x->oo) f(x)=oo
What is the location of the Vertical Asymptote in the function
f(x)=((x+2)^2(x-1))/((x+2)(x-1)^2
x=1
True or False: The following expressions are equivalent.
5*9^(x)=5*81^((1/2)x)
True
Write a new function g(x) that is the function f(x) translated right by 5 if f(x)=log_3(x)
f(x)=log_3(x-5)
What scientific force does Elphaba, the Wicked Witch of the West, "Defy" in the smash hit "Wicked?"
Gravity
A polynomial function has a root at
(-5.001-3.256i,0)
name another root this function possesses.
(-5.001+3.256i,0)
Describe the end behavior of the function below as the x-values increase without bound. Use limit notation.
f(x)=(4x^3-x+2)/(2x^3-x^2+9)
lim_(x->oo) f(x)=2
What kind of function is represented by this table?
Exponential
Condense:
ln a+3lnb-5lnc
ln((ab^3)/c^5)
What type of spray does Mr. Lloyd spray in the 4 corners of the room when Myles enters the class?
Sage
Using your calculator, find the absolute minimum value of the function
f(x)=0.976x^4-3.002x^3+5.113x
-2.32646
If the function f(x)=(x-1)/(x+2)^2 were translated down by 1, what would the resultant equation be?
f(x)=(x-1)/(x+2)^2-1
What transformations were applied to f(x) to achieve
g(x)=f(1/2(x+1))
A horizontal dilation by 2 and a translation left by 1
Is the function below logarithmic or exponential?
Exponential
Name 3 countries that start with C.
Given the function
g(x)=(x+2)^2(x-1)
find when
g(x)<0
(-oo,-2) and (-2,1)
Find the slant asymptote of the function:
g(x)=(2x^2-5x+9)/(x+1
y=2x-7
Two points on a function modeled by a geometric sequence are (3,27) and (5,12). What is the output when x=6?
8
Solve:
log_3(x+1)+log_3(x-2)=log_3(10)
x=4
How many multiple choice questions are on Part A of the AP test?
28