12 Basic Functions
Which functions do not have a domain of all real numbers?
Square Root, Natural Log, Reciprocal
Of the twelve basic functions, which ones have vertical asymptotes at x = 0?
What is f(x) = 1/x and f(x) = ln x
Identify symmetry. Then, determine if it is even, odd, or neither. f(x) = x^4
What is symmetry to the y-axis and even?
Cosine, Absolute, Squaring
Of the twelve basic functions, which ones are symmetric to the y-axis?
What is f(x) = x^2, abs (x), and cos (x).
Determine symmetry and state whether it is even, odd, or neither. f(x) = 2x^3+4x
What is symmetric to the origin and odd?
Which three functions have symmetry across the y-axis.
Cosine, Absolute, Squaring
Of the twelve basic functions, which ones are increasing ONLY from [0, inf)?
What is f(x) = x^2, sqrt (x), and abs (x)
Determine symmetry and state whether it is even, odd, or neither. f(x) = (x-3)^2
What is no symmetry/neither?
Which functions have points of discontinuity?
Reciprocal, greatest integer
Of the twelve basic functions, which ones have a horizontal asymptote at y = 0?
What is f(x) = 1/x, f(x) = a^x, f(x), 1/(1+e^-x)
Determine symmetry and state whether it is even, odd, or neither. f(x) = 3x^2+4
What is symmetric to the y-axis and even?
Which functions have an asymptote at y=0
Logistic, Exponential, Reciprocal
What is the end behavior for the logistic function?
What is lim f(x) as x approaches -inf = 0 and lim f(x) as x approaches inf = 1?
Determine symmetry and state whether it is even, odd, or neither. f(x) = (x-2)^2 + 3x
What is no symmetry/neither?