Function Vocabulary
The set of all possible input values (x-values) for a function.
Domain
A car travels 55 miles per hour. Write an equation for the distance, d, over t hours.
d=55t
Which rate is faster: y=40x or a table showing 50 miles every 1 hour?
50 miles per hour > 40 miles per hour
If a population of 5 bunnies doubles every month, how many bunnies are there after 1 month?
10 Bunnies
What is the formula for the volume of a cylinder?
V=πr2h?
A mathematical relationship where each input has exactly one output.
Function
Write the equation for a line that has a rate of change of 4 and a y-intercept of -2.
y=4x-2
Function A starts at 10 and adds 3 each day. Function B starts at 0 and adds 5 each day. Which is greater on day 4?
Function A
In the equation y=10(2x), what does the number 2 represent?
Growth factor
What is the exact volume of a cylinder with a radius of 2 in and a height of 5 in?
20π in3?
The ratio of the vertical change to the horizontal change between two points on a line.
Slope (rate of Change)
Write a linear equation from this table:
x: 0, 1, 2
y: 5, 8, 11
y=3x+5
Company A produces toys at a rate of y=105x. Company B produces 115 toys per minute. Which produces toys at a slower rate?
Company A
20 people know a secret. The number of people who know triples every hour, h. Write the function n(h).
n(h)=20(3h)
What is the exact volume of a cone with a radius of 3 cm and a height of 4 cm?
12π cm3?
The shape of the graph of an exponential function.
Find the rate of change for a line passing through the points (2, 4) and (4, 10).
Line 1 passes through (0,0) and (2,10). Line 2 is represented by y=4x. Which line is steeper?
Line 1
Draw a rough sketch in the air of what the graph y=3x looks like.
A sphere has a radius of 3 ft. What is its exact volume?
36π ft3?
The point where a line crosses the y-axis, often representing the starting or initial value.
y-intercept
A phone plan costs $15 plus $0.10 per text sent, t. Write the equation for the total cost, C.
c=0.10t+15
Runner A's distance is modeled by y=6x. Runner B's table shows points (1, 5) and (2, 10). Who runs faster?
Runner A
You invest $100 and it doubles every year. How much is the investment worth after 3 years?
$800
If a cone and a cylinder have the exact same radius and height, what fraction of the cylinder's volume is the cone's volume?
1/3