Polynomial Functions
What are the zeros of the shown function?
-3,2,5
For the piecewise function
x+1, x<1
f(x)= 0, x=1
x^2, x>1
what is the limit as x approaches 0?
1
What is 135 degrees in radians?
3π/4
What is the sine of 90 degrees?
1
Tony Stark is the real name of which Marvel superhero?
Iron Man
What is the y-intercept of the following function?
f(x)=5x^5-4x^4+7x+9
9
For the shown piecewise function, what is the limit as x approaches -1?
DNE
What is one angle that is coterminal to -80 degrees?
280 degrees is one possible answer, but anything of the form -80+360n, where n is an integer, is correct.
What is the ratio of the sides of a 30-60-90 triangle?
1:√3:2
What is the center of an atom called?
The nucleus
What is the domain and range of the following function?
f(x)=-x^3-x^2+6x-8
Domain: (-∞,∞)
Range: (-∞,∞)
Name all the holes and vertical asymptotes of the following function:
f(x)=[(2x-1)(x-2)(x+3)]/[(x+2)(x-2)]
Hole at x=2, vertical asymptote at x=-2
What is the reference angle of 290 degrees?
70 degrees
What is the cosine of 7π/6?
-√3/2
5,280
What is the remainder when you divide the following polynomials using synthetic division?
(3x^3-2x^2-7x+6)/(x+1)
8
What kind of end behavior asymptote does the following function have?
f(x)=(3x^4+2x-1)/(x^2-7x+1)
Non-linear asymptote
What is the reference angle for 9π/5?
π/5
For the standard right triangle ABC (where C is the right angle), if A=π/3 and b=7, then what is the length of side c?
c=14
What city does Romeo and Juliet take place in?
Verona, Italy
What are the x-intercepts, y-intercept, and end behavior of the following function?
f(x)=(-x+1)(x^2-5x+6)
x-intercepts: 1,2,3
y-intercept: 6
end behavior: extends into the second and fourth quadrant
Under what circumstances will a rational function have a horizontal asymptote?
When the degree of the denominator is greater than or equal to the degree of the numerator.
What is the reference angle for -7π/4?
π/4
What are all possible forms of the solution to the following function?
cos x = 1/√ 2
π/4 + 2πn and 7π/4 + 2πn, where n is an integer
What are the first ten digits of pi?
3.141592653