19 Basic Functions
y = 1/x
Domain: (-∞,0)∪(0,∞) Range: (-∞, 0)∪(0,∞) Symmetry: Origin Even/odd?: Odd Roots: None
y = 1/(x²)
Domain: (-∞,0)∪(0,∞) Range: (0,∞) Symmetry: Y-axis Even/odd?: Even Roots: None
y = x^1/3
Domain: (-∞,∞) Range: (-∞,∞) Symmetry: Origin Even/odd?: Even Roots: x=0
y = x³
Domain: (-∞,∞) Range: (-∞,∞) Symmetry: Origin Even/odd?: Odd Roots: x=0
y=x
Domain: (-∞,∞) Range: (-∞,∞) Symmetry: Origin Even/odd?: Odd Roots: x=0
y = e^x
Domain: (-∞,∞) Range: (0,∞) Symmetry: None Even/odd?: None Roots: None
y = sin(x)
Domain: (-∞,∞) Range: [-1,1] Symmetry: Origin Even/odd?: Odd Roots: x= ...,-π, 0, π,...
y = cos(x)
Domain: (-∞,∞) Range: [-1,1] Symmetry: Y-axis Even/odd?: Even Roots: x= ...,-π/2, 0, π/2,...
y = x^2/3
Domain: (-∞,∞) Range: [0,∞) Symmetry: Y-axis Even/odd?: Even Roots: x=0
y = |x|
Domain: (-∞,∞) Range: [0,∞) Symmetry: Y-axis Even/odd?: Even Roots: x=0
y=x²
Domain: (-∞,∞) Range: [0,∞) Symmetry: Y-axis Even/odd?: Even Roots: x=0
y = [x]
Domain: (-∞,∞) Range: where y is an integer Symmetry: None Even/odd?: None Roots: Every number between 0 and 1 exclusive and 0
y = ln(x)
Domain: (0,∞) Range: (-∞,∞) Symmetry: None Even/odd?: None Roots: x=1
y = csc(x)
Domain: All real numbers except nπ Range: (-∞,1]∪[1,∞) Symmetry: Origin Even/odd?: Odd Roots: None
y = sec(x)
Domain: All real numbers except nπ + π/2 Range: (-∞,1]∪[1,∞) Symmetry: Y-axis Even/odd?: Even Roots: None
y = tan(x)
Domain: All real numbers except π/2 + πn Range: (-∞,∞) Symmetry: Origin Even/odd?: Odd Roots: x= ...,-π, 0, π,...
y = cot(x)
Domain: All real numbers except πn Range: (-∞,∞) Symmetry: Origin Even/odd?: Odd Roots: x= ...,-π/2, 0, π/2,...
y = sqrt(r² - x²)
Domain: [-r,r] Range: [0,r] Symmetry: Y-axis Even/odd?: Even Roots: x=-r x=r
y = √(x)
Domain: [0,∞) Range:[0,∞) Symmetry: None Even/odd?: None Roots: x=0