Algebra 1/2
Which polynomial has a degree of 3 and a leading coefficient of 2?
1) 2x^2 + 3x + 1
2) 6x^3 + 3x^2 - 2x
3) 3x^2 + 2x + 2
4) 2x^3 + x^2 + 4x
4) 2x^3 + x^2 + 4x
This regular polygon would carry onto itself after a rotation of 60° about its center.
(1) pentagon (3) octagon
(2) hexagon (4) decagon
What is a hexagon?
What is f(3) if f(x)=2x+1?
7
Find the slope of f(x)=4x+1.
4
The sum of 3 and sqrt 5 is
(1) rational, since the sum can be expressed as an integer
(2) rational, since the sum can be expressed as a nonterminating
decimal
(3) irrational, since the sum can be expressed as a terminating decimal
(4) irrational, since the sum cannot be expressed as a terminating or
repeating decimal
irrational, since the sum cannot be expressed as a terminating or repeating decimal
A line contains the points (21, 24) and (3, 21). An equation of a line perpendicular to this line is
y + 1 = -4/3(x-3)
What is the domain of f(x)=1/x−4?
All real numbers except x=4.
Find the limit as x approaches 2^x.
2
What is the inverse of f(x) = 2x + 6?
f(x)^-1 = x/2 - 3
If two sides of a triangle have lengths of 2 and 8, the length of the third side could be
7
f f(x)=x^2, what is f(−5)?
25
What does the derivative represent?
The slope/rate of change
Mary would like to determine if there is an association between a student’s height and their shoe size. She measures the height and shoe size of every 10th person entering her school. This is an example of
(1) a census (3) a simulation
(2) an observational study (4) a controlled experiment
(2) an observational study
Which two-dimensional figure is always formed when a plane intersects a right cylinder perpendicular to its base?
(1) circle (3) rhombus
(2) triangle (4) rectangle
rectangle
Is f(x)=x^2 one-to-one?
No.
Find the derivative of f(x)=x^5+2x^2.
f′(x)=5x^4+4x