Inverses
Sequences
Transformations
Polynomials
Random
100
Find the inverse of f(x)=5x-4
y=(x+4)/5
of
y=1/5x+4/5
100
Write an explicit formula for this sequence:
2, 7, 12, 17, ...
f(n)=5n-3
100
How does the graph of f(x)=abs(x)+2 compare to the parent function?
It is shifted up 2 units.
100
What is the leading coefficient of this polynomial?
5-4x^3+6x^2-9x^5
-9
100
Which ear did Vincent Van Gogh cut off?
His left ear
200
Find f^-1(x) for
f(x)=sqrtx+5
y=(x-5)^2
200
Write an explicit formula for the geometric sequence:
200, 50, 12.5, 3.125,...
f(x)=800(0.25)^x
200
Write the equation that would result if this function were shifted 3 units to the right.
f(x)=3(x-2)^2+1
f(x)=3(x-5)^2+1
200
Write an expression to represent the volume of a rectangular cooler where the width is five times the length and the height is 10 inches decreased by three times the length.
x(5x)(10-3x) or equivalent
200
What is the only mammal that can fly?
A bat
300
Given f(x)=x^2-7 , restricted such that the inverse is also a function, write f^-1(x) and determine the value of
f^-1(9) .
y=sqrt(x+7) and f^-1(9)=4
300
Write the first four terms that correspond to this definition, where n represents the position of a term in a sequence:
f(1)=2
f(n)=4f(n-1)
2, 8, 32, 128
300
Describe the two transformations that would occur from the following equation:
f(x+2)-3
A shift 2 units to the left and 3 units down.
300
For a cubic function with a positive leading coefficient, complete the statement:
As x->-oo, f(x)-> ____
-oo
300
What is the only sport that has been played on the moon?
Golf
400
An inverse of a function is a reflection of that function over the line ______.
y=x
400
Ms. Betzler is working with an architect to design Pickett’s new auditorium. The front row will have 30 seats and each following row will have 5 more than the row in front. If there are 10 rows, how many people will the auditorium seat?
The auditorium will seat 525 people.
400
Describe the transformations that would make f(x) into g(x).
f(x)=4x^2-1
g(x)=8x^2+5
Vertical stretch by a scale factor of 2 and a vertical shift up 6 units
400
Where is the vertex of this parabola?
(6,2)
400
How many weeks is a fortnight?
Two weeks
500
The inverse of a linear function is a ________________ and the inverse of a quadratic function is a _________________.
The inverse of a linear function is a linear function and the inverse of a quadratic function is a square root function.
500
A geometric sequence has a fourth term of 1.248 and a common ratio of 0.2. Find the sum of the first eight terms. Round your answers to the nearest hundredth if necessary.
195
500
Write an equation for a parabola with a vertical compression of 1/2, a horizontal shift to the left of 4 units and a vertical shift up 2 units.
y=1/2(x+4)^2+2
500
What is the domain for a cubic function?
All real numbers
500
Which country has the most pyramids in the world?
Sudan