What is another way to represent the expression 4*4*4*4*4?
4^5
100
Average Rate of Change is another word for what?
Slope
100
Evaluate (-1)^4
1
200
What is a function?
A function is a relationship where each input gives back exactly one output
200
What does m represent?
Slope
200
What is a real life example of an exponential function?
Population growth, elemental decay
200
Name two ways to find the average rate of change
Formula, graphing, table/chart
200
What is the equation of a line that has a slope of 3/4 that passes through the point (0, -6)?
y=(3/4)x-6 or m=(y-(-6))/(x-0) or y+6 = (3/4)(x-0)
300
What is domain?
All the values that go into a function, x values, inputs
300
In a linear function, whenever the input is 0, the output will be...
y-intercept
300
Evaluate the function, f(x)=2^x, when x=4
16
300
What is the formula for slope?
y2-y1/x2-x1
300
Name every person in the classroom
:)
400
What is range?
All the values that come out of a function, y values, outputs
400
Convert the following equation from standard to slope intercept form:
3y-9=6x
y=2x+3
400
Evaluate the function, f(x)=4^x, when x=-1
1/4
400
Find the average rate of change between the following two points: (3, 14) and (5, 26)
(26-14)/(5-3)=12/2=6/1=6
400
Mr. Paris decided to drain his swimming pool. After 12 minutes there were 3,200 gallons of water left in the pool. After 18 minutes there were 2,000 gallons left. If the pool is emptying at a linear rate, how many gallons of water were there originally?
5,600 gallons
500
What is an irrational number? Give one example.
A number that cannot be written as a simple fraction, example: pi
500
In all linear functions, the average rate of change is always...
Constant
500
Consider the function, f(x)=50*2^x. What is the y-intercept of the function?
y-intercept=50
500
If (2, 0) and (6, 4) are on the same line, is the point (-1, -3)?
Yes, the slope is the same.
500
What is the equation of the exponential function that has the properties: f(0)=10 and f(1)=30?