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Rates of Change & Linear Models
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Terms in this set (16)
slope
a measure of the amount of decline or incline of a line. The variable m is often used to represent slope.
delta
greek letter that is often used to represent a change in a value
rate of change
The rate of change for a function is the ratio of the change in y, the dependent variable, to the change in x, the independent variable
direct variation
direct proportion is a relationship in which the ratio of one quantity to another remains constant.
indirect variation
also known as inverse variation
constant of variation
k is determined by y / x in direct variation
inverse variation
k, constant of variation, is determined y*x
inverse of function
An inverse function is a function that interchanges the independent and dependent variables of another function.
one-to-one function
no two values of x are paired with the same value of y.
arithmetic sequence
arithmetic sequence is a sequence in which the difference between terms is constant.
explicit formula
for an arithmetic sequence describes any term in the sequence using the first term and the common difference.
recursive formula
can be used to represent an arithmetic sequence. Recursion is the process of choosing a starting term and repeatedly applying the same process to each term to arrive at the following term
slope-intercept
y = mx + b, where m is the slope of the line and (0, b) is the y-intercept.
point-slope
y − y1 = m(x − x1), where m is the slope of the line and (x1, y1) is a point on the line.
y=a(x-h)+k form
Vertex or Translation form, where a is the slope and (h,k) is a point on the line.
standard form
Ax + By = C where A, B, and C are constants and A and B cannot both be zero
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