Function Notation
Average Rate of Change
Identifying Functions and Domain & Range
Square Root & Absolute Value Functions and Transformations
Features of Graphs and Piecewise Functions
100
The value of k(9) given k(x) = 2x^2 - 3sqrt(x)...
What is k(9) = 153?
100
A scuba diver enters the water for a dive. After 10 seconds, he is 30 feet below the surface of the water. After 40 seconds, he is at a depth of 100 feet. The diver's average rate of change, rounded to the nearest tenth...
What is 2.3 feet per second?
100
The mapping diagram below is/isn't a function because...
What is no because 0 (the x-value) has two different outputs?
100
True or False:
Square root functions have arrows on both sides.
What is False?
100
True or False:
A graph can be both negative and increasing.
What is True?
200
If the function f(x)=3x-4 and g(x)=3/2x+5, which of the following is a true statement?
(1) f(-2)>g(-2)
(2) f(-2)=g(-2)
(3) f(-2)<g(-2)
(4) g(-2)<f(-2)
What is Choice 3: f(-2)<g(-2)?
200
Nelson got a job working at a restaurant over the summer. His pay is recorded in the table below.
The average rate of change in Nelson’s weekly pay from week 1 to week 5 is...
What is $5 per week?
200
The range of the ordered pairs listed below...
{(–5,0), (–3,2), (0,4), (2,–7)}
What is {0, 2, 4, -7}?
200
Three key features of the graphs of absolute value functions...
What are "V"-shaped, symmetrical, made up of straight lines, and/or have arrows on both sides?
200
True or False:
It's impossible for a graph to have neither a maximum or a minimum point.
What is False?
300
When babysitting, Nicole charges an hourly rate and an additional charge for gas. She uses the function C(h)=6h+5 to determine how much to charge for babysitting. The constant term of this function represents...
What is the additional charge for gas?
300
A family is traveling from their home to a vacation resort hotel. The table below shows their distance from home as a function of time.
During which interval was their average rate of change the greatest: 0 to 5 hours, or 2 to 7 hours?
What is 0 to 5 hours (75mph)?
300
The domain of the graph below...
What is -4<x<=3 or (-4,3]?
300
When compared to the graph of f(x)=sqrt(x), the graph of g(x)=sqrt(x+2) has moved...
What is 2 units to the left?
300
The part(s) of the graph that is/are entirely positive...
What are A and B?
400
Jackson is starting an exercise program. The first day he will spend 30 minutes on a treadmill. He will increase his time on the treadmill by 2 minutes each day. The function T(d) to represent the time, in minutes, on the treadmill on day d is...
What is T(d)=30+2d?
400
The total profit earned at a garage sale during the first five hours is modeled by the graph shown below.
The average rate of change, in dollars per hour, over the interval 1<=x<=4...
What is $20 per hour?
400
The range of the graph below...
What is -oo<y<=4 or (-oo,4]?
400
If f(x)=abs(x), then the function that represents a shift of the graph of f(x) 4 units to the right and 3 units down is...
What is f(x)=abs(x-4)-3?
400
The interval(s) of the graph that is/are decreasing...
What are B to C and D to E?
500
If g(x)=(-5x-8)/3, the value of x that satisfies g(x)=9 is...
What is x=-7?
500
A manager wanted to analyze the online shoe sales for his business. He collected data on the number of pairs of shoes sold each hour over a 14-hour time period. He created a graph to model the data, as shown below.
The average number of shoes sold per hour between hour 6 and hour 14...
What is -15 shoes per hour?
500
The domain of the function f(x)=x^2+4x-12...
What is -oo<x<oo or (-oo,oo)?
500
When the function f(x)=abs(x) is multiplied by the value a where a>1, the graph of the new function...
What is opens upward and is narrower?
500
A function is described below:
- The function is always positive.
- The maximum is at (2,4).
All the functions that meet these criteria...
What are Functions B and C?