Vocabulary
List of x-values of a relation.
Which of the following quantities are continuous?
I. The population of dogs in a village
II. The distance covered by a train
III. The number of books shelved in the fiction section of a library
IV. The number of bracelets sold
Only II
Given the f(x)=-2x+3, if x=2, what is value of the function?
-1
h(x) = -4x – 7, when x = 3:
If the x- and y-values in each ordered pair of a function are interchanged, what is the resulting set of ordered pairs known as?
A. the inverse of a function
B. the reciprocal of a function
C. a one-to-one function
D. an onto function
A. the inverse of a function
The point at which the x and y-axis intersect on the coordinate plane; (0,0)
Origin
Rachael is on a hiking trip with her friends. After 3 hours of hiking and at 6 miles from their starting point, they decide to take a one-hour break to eat lunch and take pictures.
After 4 more hours, they reach their campsite 16 miles away from their starting point.
Which graph correctly models this situation?
C
Which of the following sets of ordered pairs represents a function?
a. {(-6,-1), (13,8), (1,6), (1,-10)}
b. {(10,5), (10,-5), (5,10), (5,-10)}
c. {(3,5), (-17,-5), (3,-5), (-17,5)}
d. {(10,5), (-10,-5), (5,10), (-5,-10)}
d. {(10,5), (-10,-5), (5,10), (-5,-10)}
Suppose your soccer coach is ordering duffel bags online for your team. The online store charges $16.49 per bag, plus $10.50 for shipping and handling of the order. Suppose x is the number of bags ordered and g(x) is the total cost of the bags. Then, how much is the cost of buying 12 bags.
$208.38
Which of the following is the inverse of ______.
A relationship between two sets of quantities, such as time and money, is called a ________.
Relation
The students in Mrs. Willow's reading class are all reading the same novel independently. Four students create a graph of their reading rates, in words per minute, as shown on the left.
Which student reads the fastest?
Sarah
Which of these graphs represents a function?
W
Let f(t) be the sales of a gaming product, in thousands of units, after t months.
f(t)=5t+11
How many products are sold in 3 months?
26000
Keith used the following steps to find the inverse of f, but he thinks he made an error.
B. In step 4, Keith should have subtracted 5 from each side.
When a relation is represented as a graph, we can use what’s called the ____________ to determine if it’s a function.
vertical line test
Which of the following quantities are discrete? (select all that apply)
I. the number of students who passed the English test
II. the speed of a car
III. the temperature throughout the day
IV. the number of pages in a book
I and IV
What is the range of the function graphed above?
B
Let f(t) be the the number of units produced by a company t years after opening in 2005. What is the correct interpretation of f(6) = 44,500?
A. Six years from now, 44,500 units will be produced.
B. In 2011, 44,500 units are produced.
C. In 2009, 44,500 units are produced.
D. In 2006, 44,500 units are produced.
B. After 6 years, which means in 2011, 44,500 units are produced.
Which function represents the inverse of function f below?
A set of numbers or coordinates written in the form (x,y)
Ordered Pairs
Roy plans to go boating over the weekend. The boating club charges an initial fee of $30 to rent a boat, with an additional hourly rate for each hour the boat is in use.
Which graph represents the above situation correctly?
Y
Which of the following represents a function?
B
Harry pays $28 for a one month gym membership and has to pay $2 for every fitness class he takes. This is represented by the following function, where x is the number of classes he takes.
f(x) = 2x + 28
What is the total amount Harry has to pay if he takes 12 classes?
$52
Which of the following functions could be the inverse of function f?