Function Vocab
True or False-A relation is a set of ordered pairs
What is TRUE?
Evaluate f(x) = x2+3x+1 for f(3)
19
A teacher weighed 160 lbs in 1996 and weighs 210 lbs in 2013. What was the average rate of change in weight? (round to 2 decimals)
The average rate of change is 2.94 pounds per year.
A grocery store sells packages of beef. The function C(w) represents the cost, in dollars, of a package of beef weighing w pounds. The most appropriate domain for this function would be
1) integers 2) rational numbers 3) positive integers 4) positive rational numbers
4
The set of first coordinates of a relation or a function
What is Domain?
Evaluate h(x) = 3x2 + 2 − 2x; Find h(−2)
18
A scuba diver is 30 feet below the surface of the water 10 seconds after he entered the water and 50 feet below the surface after 40 seconds. What is the scuba divers’ average rate of change in the diver’s depth measured in feet per second? (write answer as a reduced fraction)
The scuba divers’ average rate of change is 2/3 𝑓𝑒𝑒𝑡 𝑝𝑒𝑟 𝑠𝑒𝑐𝑜𝑛d.
If the function f(x) = x2 has the domain {0,1,4,9}, what is its range?
1) {0,1,2,3} 2) {0,1,16,81} 3) {0,−1,1,−2,2,−3,3} 4) {0,−1,1,−16,16,−81,81}
2
Evaluate f(t) = t4+t3+2t2 for t=2
32
𝑓(𝑥) = −2𝑥2+ 4𝑥 − 5 between 𝑥 = 1 𝑎𝑛𝑑 𝑥 = 3
-4
If the domain of the function f(x) = 2x2 − 8 is {−2,3,5}, then the range is
1) {−16,4,92} 2) {−16,10,42} 3) {0,10,42} 4) {0,4,92}
3
g(n) = −2n2 + 4 + 2n for n=-2
-8
At 10 AM a car’s odometer read 10,300 miles. At noon, the car’s odometer read 10,420 miles. What is the car’s average rate of change measured in miles per hour?
60 mph
A function is defined by the equation y = 8x − 3. If the domain is 2 ≤ x ≤ 4, find the minimum value in the range of the function.
13
f(s) = 8s+15, evaluate s if f(s) = 11
-1/2
f(t)= 288 − 32𝑡2 Can be used to calculate the pebbles height of the ground in 𝑓 feet 𝑡 − 𝑠𝑒𝑐𝑜𝑛𝑑𝑠 after it is dropped. Calculate the average rate of change (average speed) in feet per second of the pebble for the 3 seconds it takes to hit the ground.
−𝟗𝟔 𝒇𝒆𝒆𝒕 𝒑𝒆𝒓 𝒔𝒆𝒄𝒐𝒏𝒅 (answer is negative since the pebble is falling)
If the domain of f(x) = x2 + 1 is limited to {0,1,2,3}, what is the maximum value of the range?
10