Functions
What are functions in graphs?
Functions that are graphs of equations that have been solved for y.
What is a coordinate
A point on a x-y graph in the form (x, y)
What are the 3 slope formulas?
Point-slope form, standard form, and slope-intercept form
What is 2x + y = 6 in slope intercept form?
y = -2x + 6
What is a linear equation?
An equation in two variables whose graph in a coordinate plane is a straight line.
Using the vertical line test
What is the definition of a run?
The difference in the x values
What is standard form slope?
Ax+By=C
What is 2 + y = -3x in standard form?
y + 3x = -2
What is an ordered pair?
A pair of numbers used to locate a point on the coordinate plane. (x , y)
What is a domain?
Possible x-values for a given function
What is the definitions of a rise?
The difference in the y values
What is a point-slope form
y-y₁=m(x-x₁)
What is y=9x+1/2 in standard form?
18x−2y=−1
What is a non-linear function?
An equation that does not form a straight line when graphed
Possible y-values for a given function
The graph of a function has to be linear if it has what characteristic?
A constant slope
What is a slope-intercept form?
y = mx + b
What is y=-4x+5 in standard form?
4x+5=y
What is a rate of change?
The ratio of the change in the output value and change in the input value of a function
What are the 8 types of functions?
Linear, power, quadratic, polynomial, rational, exponential, logarithmic, and sinusoidal
What is a "zero slope"?
Zero over a number
How do you find the slope of a line?
Divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points
What is y+9=4x−8 in standard form?
−4x+y=−17
What is a proportional relationship?
A relationship between inputs and outputs in which the ratio of inputs and outputs is always the same