Explain what makes something a function.
Each x input goes to one y output.
Vocab: what is another term for slope?
Rate of change
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
Does the graph y = (1/2)x + 4 contain the point (2,5)?
Yes, because 5 = (1/2)2 + 4
5 = 1 + 4
5 = 5
GRAPH: input on x-axis, output on y-axis
TABLE: input on the left, output on the right
What is the slope of the line y = -4.
The slope is 0
Vocab: what is another term for y-intercept?
Starting point, or starting amount, or starting value
input: x
output: y
A pool is 40 gallons full and is draining at 1/2 gallon per minute. What would be the slope of this function?
-1/2
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
Solve for X in 5(2X-7)=65
What is 10?