Non-Linear Relationships Flashcards
Exponential Function
shape?
curve
Exponential Function
equation?
y=a^x
constant is a>0
Exponential Function
y-intercept?
(0,1)
Exponential Function
bigger a-value?
steeper the graph
Exponential Function
constant added e.g. 2^x+3
move up or down the y-axis
Quadratic Function
shape?
parabola
Quadratic Function
equation?
has an x^2 (no higher)
standard: y=ax^2+bx+c
Quadratic Function
co-efficient is positive?
concave up
Quadratic Function
co-efficient is negative?
concave down
Quadratic Function
axis of symmetry equation
-b/2a
Reciprocal Function
shape?
hyperbola
one part is reflected in opposite part of the number plane
Reciprocal Function
equation?
y=k/x
index form y=x^-k
Reciprocal Function
asymptote?
line that the graph approaches but never touches (x and y axis)
Inverse Variation
occurs when?
one variable increases, while the other decreases
Inverse Variation
equation?
y=k/x
k is constant