What's Your Function?
Explain what makes something a function.
Each x input goes to one y output.
What letter is used for slope?
M
This is also called the rate of change!
domain
Is this a function? Explain. (4, 2) (5, 4) (5, -3) (6, 3)
No, because the input 5 is assigned to two different y values
If m = 6, then if the rise is 18, what is its run?
3
y= mx + b is called the ________________ form of a linear equation.
slope intercept form
Where doe the input and output go on a graph and a table?
GRAPH: input on x-axis, output on y-axis
TABLE: input on the top, output on the bottom
What is the slope of the line y = -x - 6.
The slope is -1
Vocab: what is another term for y-intercept?
Starting point, or starting amount, or starting value
Graph the equation y= -2x + 3
show on board
The set of all possible output values of a function is called
Range
Write y=7x - 4 in functional notation
f(x) = 7x-4
If a linear function is a straight, horizontal line, then what is its slope?
If a linear function is a straight, vertical line, then what is its y slope?
horizontal- slope is 0
vertical line- slope is undefined (no slope)
Graph the equation y = -4x + 2
show on board
A relation where there is exactly one output for one input
Function
If you were given a graph of a circle, would it be a function? Explain.
No, because there would be multiple outputs for one input
Find the slope between the points (3, -4) and (4, -5).
What is -1
What is the y-intercept of the equation x = -3?
There is no y intercept
A negative slope will trend __________________
downward from left to right
The equation Ax + By = C is called the ________ of a linear equation.
standard form