Polynomial Functions
Rational Functions
Exponential and Logarithmic Functions
Rate of Change
Randomness
100
State whether the following function is even, odd, or neither.
f(x)=-2/(x^3-1)
Odd
100
State the equations of the asymptotes for
f(x)=(2x^2-1)/(3x^2-8x+5)
HA: y=2/3. VA: x=1, 5/3
100
Evaluate log1/327.
x=-3
100
What is the difference between AROC and IROC?
AROC= Rate of change between two points
IROC= Rate of change at a particular moment
100
Who is Ash Ketchum's best friend?
Pikachu
200
Draw a sketch of the function below .
f(x)=-(x+3)^3(x-2)^2(x^2-5x+6)
200
When does an oblique asymptote occur?
When the degree of the numerator is one more than the degree of the denominator.
200
Evaluate log256 - log27+log22.
3
200
How does a tangent line relate to IROC?
The slope of the tangent line represents the IROC at the point the line passes through.
200
Name all 10 provinces and 3 territories in Canada.
Quebec
Alberta
British Columbia
Manitoba
New Brunswick
Newfoundland and Labrador
Nova Scotia
Ontario
Prince Edward Island
Saskatchewan
Yukon
Northwest Territories
Nunavut
300
State the quotient from
(x^3-2x^2+3x-1)/(x-3)
x^2+x+6
300
State the domain of the following function,
f(x)=(x^2-16)/(x^3+4x^2-x-4)
x belongs to the set of real numbers such that x does not equal -4, -1, 1.
300
The function f(x)=logx is reflected in the x-axis, stretched horizontally by a factor of 3, and translated 2 units up.
f(x)=-log(1/3x)+2
300
Given the function f(x)=3x2+5, explain how you would determine the IROC at x=3 algebraically.
Answers may vary.
300
What was the world population in 2018?
7.594 billion
400
Solve for
x, x^3-2x^2-x+2>0
-1<x<1, x>2
400
Solve for x,
(x+3)/(x+1)=(x-2)/(x-3)
x=7
400
Solve
log(4x-1)=log(x+1)+log2
x=2/3
400
Given a function, when will the IROC be 0?
The IROC is zero at the maximums and minimums of a function.
400
What is the slowest animal in the world?
The Three-Toed Sloth
500
When the function, f(x), is divided by x-1, the remainder is 8. Find the value of r.
f(x)=rx^3+x^2+4x+1
r=2
500
Create a function that has an oblique asymptote and two vertical asymptotes at x=5, -3
Answers may vary.
500
If logba=c and logxb=c, then logax=?
c^(-2)
500
Sketch a function, f(x) with the following properties.
f(x)<0 when x<2, 7<x<10
f(x)>0 when 2<x<7, x>10
IROC=0 at x=-3,-1,3,8
IROC>0 when x<-3, -1<x<3, x>8
500
Where is the smallest bone in your body located?
Ear