Functions and Graphs
A number that does not terminate or repeat.
What is an irrational number?
Find f(2) for f(x) = x3 -2x + 1
What is 1?
The composition f(g(x)) and g(f(x)) is x.
What are inverses?
For f(x) = 1/x, as x approaches infinity, the function approaches zero, and as x approaches negative infinity, what does the function approach?
What is 0?
The value of the exponent in the compound interest formula if an investment is compounded quarterly over 10 years.
What is 40?
The distance between (1,2) and (-5, 3)?
What is the square root of 37?
Find f(x+1) for f(x) = x2 -3x + 3
What is x2+ 3x + 3?
The function f(x) = x3 is discontinuous.
What is a false statement?
The domain of (x3 + 2x - 5)/(x2 - 2x - 8).
What are all real numbers except x = -2 and x = 4?
The value of r in the interest rate formula if an investment pays 1.25% simple annual interest.
What is 0.0125?
What is (-2,3)?
Write the factored form of a cubic equation with roots x=0, x=-8, and x=4.
What is x(x+8)(x-4)?
The inverse of f(x) = 3x2 - 4.
What is the square root of the quantity ((x+4)/3)?
The transformations of f(x) = -2/(x - 4) + 6.
What is a horizontal shift right 4 units, a flip over the x-axis, a vertical stretch by a factor of 2 and a vertical shift up 6?
The amount of money in a savings account at the end of the year if the simple annual interest rate on $300 is 1.75%.
What is $305.25
The square root of -24x2.
What is 2xi times the square root of 6?
The roots of the factored cubic equation
(x-5)(3x + 9)(2x-6) = f(x).
What is x=5, x=-3, and x=3?
The horizontal and vertical asymptote for f(x) =
((x +3)/(x - 4)) + 5.
What is y = 5 and x = 4?
The y-intercepts at f(0) and the x-intercepts of the zeros of the numerator of
f(x) = (4x2 - 1)/(2x3 + 3x - 1)
What is y = 1 and x = 1/2 and x= -1/2?
The amount of an investment after 5 years with an initial investment of $250 compounded monthly at 3% interest.
What is $290.40
Multiply it's complex conjugate by 4 - 2i.
What is 20?
The roots of (2x - 1)(x + 3).
What is x = 1/2 and x = -3?
The other zeros of f(x) = x3 - 6x2 + 11x -6 given that x=3 is a zero.
What is x = 2 and x = 1.
What are the vertical asymptotes (zeros of the denominator) and end behavior (based on lead coefficients) of f(x) = (4x2 +x -1)/(x3 - x)
What is x=0, x=1 and x=-1 and the function approaches 0?
The number of years before a city with a population of 500,000 that grows at a rate of 2.5% will be a million people.
What is 28 years?