Calculus: Twenty Best Friends
f(x) = x⁻²
EVEN Domain: (-inf, 0) or (0, inf) Range: (0, inf) GRAPH: 2 curves above x-axis
f(x) = cos(x)
EVEN Domain: R Range: [-1, 1]
f(x) = x^2/3
EVEN Domain: R Range: [0, inf)
f(x) = x²
EVEN Domain: R Range: [0, inf)
f(x) = x⁴
EVEN Domain: R Range: [0, inf)
f(x) = |x|
EVEN Domain: R Range: [0, inf)
f(x) = 1
EVEN Domain: R Range: y = 1
f(x) = √a² - x² ; a = 3
EVEN Domain: [-3, 3] Range: [0, 3]
f(x) = ln(x)
NEITHER Domain: (0, inf) Range: R
f(x) = x^x
NEITHER Domain: (0, inf) Range: [0.692, inf) GRAPH: Nike symbol rotated counter-clockwise
f(x) = eⁿ
NEITHER Domain: R Range: (0, inf) GRAPH: Roller coaster Hill (left to right)
f(x) = [[x]]
NEITHER Domain: R Range: {y|y = k, where k is an integer} GRAPH: Steps from Q3 to Q1
f(x) = √x
NEITHER Domain: [0, inf) Range: [0, inf)
f(x) = x⁻¹
ODD Domain: (-inf, 0) or (0, inf) Range: (-inf, 0) or (0, inf) GRAPH: 2 curves in Q1 & Q3
f(x) = |x|/x
ODD Domain: (-inf, 0) or (0, inf) Range: {y|y = 1, y = -1} GRAPH: Straight lines in Q1 & Q3
f(x) = x^1/3
ODD Domain: R Range: R
f(x) = x³
ODD Domain: R Range: R
f(x) = x
ODD Domain: R Range: R GRAPH: Diagonal line from Q3 to Q1
f(x) = sin(x)
ODD Domain: R Range: [-1, 1]
f(x) = tan(x)
ODD Domain: {x|x = kπ/2, where k is an integer} Range: R