The "test" that tells whether a relation is a function from a graph.
What is the vertical line test?
100
If f(x) = 3x, find f(10).
30
100
What is the difference between slope and rate of change?
There is no difference. We use rate of change when we have units and slope when we don't, but slope is just the rate of change of a line, so they mean the same thing.
100
Write the equation of the line with a y-intercept of -3 and passes through the point (2, 6)
y = 9/2x - 3
100
Solve the system of equations: y = 1/2x - 1; -2x + 4y = -4
Infinitely many solutions
200
(2, 5); (-1, 6); (7, 3); (4, 1) Give the domain and range, and tell whether it is a function.
D: -1, 2, 4, 7 R: 1, 3, 5, 6 Yes it is a function
200
If g(x) = -3x - 2, find g(4).
-14
200
Find the slope of the line passing through (2, -1) and (6, -9)
-2
200
Write the function for this relation: (0, 3); (1, 6); (2, 9); (3, 12)
y = 3x + 3
200
Solve the system: y = 3x; x + 2y = 7
(1, 3)
300
If the domain of the function f(x) = -x + 2 is {1, 3, 6}, what is the range?
{1, -1, -4}
300
If h(t) = t^2 + 2t + 4, find h(-2)
16
300
When George left his house, he had 20 gallons of gas in the tank and the odometer read 3000 miles. When he arrived at his cousin's house, he had 5 gallons and the odometer read 3450 miles. Calculate the rate of change in miles per gallon.
30 miles/gallon
300
Sam earns $400 per week plus $20 for each item he sells. Write an equation that models the relationship between his pay p per week and the number of items n he sells.
p = 400 + 20n
300
Solve the system: x + y = 9; 6x + 5y = 51
(6, 3)
400
What is a function?
A type of relation that has exactly one output (y-value) for each input (x-value)
400
If f(x) = -x + 5, find f(2a)
-2a + 5
400
At 1 o'clock, the temperature was 90 degrees. At 3 o'clock, the temperature was 80 degrees. Find the rate of change for the temperature for this time period.
5 degrees/hour
400
Write the formula for the function represented in this set of ordered pairs: (0, 1); (1, 4); (2, 16); (3, 64)
y = 4^x
400
During a sale at a local department store, you buy 3 sweatshirts and 2 hats for $60. Later you return and buy 3 sweatshirts and 4 hats for $90. What is the price of each sweatshirt and hat?
Hat: $15; Sweatshirt: $10
500
When can you use the vertical line test, and when can you not use it?
The vertical line test is only used for graphs. It cannot be used to determine whether a table or set of ordered pairs is a function unless you graph them first.
500
If g(x) = 3x + 7, find g(n + 2)
3n + 13
500
Find the slope of the line with a y-intercept of -3 and passes through the point (2, 6).
9/2
500
Maria puts $3000 in her bank account which increases by 12% each year. Write an equation to model the value of her bank account after t years.
y = 3000 * (1.12)^t
500
Sam buys fresh fruit twice over a one-week period. On Monday, he buys 2 apples and 3 bananas for $3.20. On Wednesday, he buys 3 apples and 5 bananas for $5.10. How much does each banana and apple cost?