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Variation and Graphs - Coggle Diagram
Variation and Graphs
direct variation
line
y=kx
y varies directly as x
when k > 0
R = set of all real numbers
when k < 0
D = set of all real numbers
parabola
y=kx^2
y varies directly as the square of x
when k < 0
D = set of all real numbers
R = {y| y ≤ 0}
when k > 0
D = set of all real numbers
R = {y| y ≥ 0}
Reflection: Symmetric to the y-axis
inverse variation
hyperbola
y=k/x
y varies inversely as x
k < 0
R = {y| y ≠ 0}
k > 0
D = {x| x ≠ 0}
Asymptotes: x-axis and y-axis
inverse-square
y=k/x^2
y varies inversely as the square of x
k < 0
D = {x| x ≠ 0}
R = {y| y < 0}
k > 0
D = {x| x ≠ 0}
R = {y| y > 0}
Asymptotes: x-axis and y-axis
Reflexion: Symmetric to y-axis