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Unit 1

Linear Functions

Correlation: The relationship between the changes in x and the changes in y.
Linear function A function that forms a line. y=mx + b or ax + by = c.
Nonlinear function Any function that does not form a line. x may be squared, or in the denominator or under a square root sign.
Parent function The simplest version of each type of function.
Rate of change The relationship between two amounts. For example miles per hour or dollars per hour.
Coefficient A number in front of a variable. In y = 2x +3, 2 is the ___________.
Constant A number or term that does not have a variable and does not change. In y = 2x +3, 3 is the ____________.
Scatterplot A series of points on a graph. It usually represents collected data.
Slope A number that represents the angle of a line. It is found by Δy/Δx or rise/run.
Slope-intercept form A way to write a line that tells the slope and the y-intercept. The form is y = mx + b. “m” is the slope and “b” is the y-intercept.
Trend line In a scatterplot, it is the line that runs down the middle of the points. You can use this line to make predictions about y values at different x values.
X-intercept The place where a line crosses the x axis. It is also the point where y = 0.
Y-intercept The place where the line crosses the y-axis. It is also the place where x = 0.
zeroes The _______ of a function are the places where the function equals zero (where y = 0). It is also the x-intercepts of the function.
Δx The change in x.
Δy The change in y.
Solution The answer to a problem. When you have an equation with one variable, it is a value of that variable that makes the equation true.
horizontal A flat line running from right to left.
vertical A line running up and down.
parallel Two lines with the same slope. They are always the same distance from each other and never cross.
reciprocals Two numbers that are fractions that are flipped.
scatter plot Points on a graph that do not define a straight line but may show a general trend.
trend line A line on a scatter plot that shows the general direction or trend of the points.
point slope form A way to write a linear equation that gives a point and the slope. y-y1=m(x-x1)
standard form A way to write a linear equation that gives rates of change for both variables and a total amount. ax+by=c
Created by: meminot