Functions
Intercepts
Linear Functions
Exponential Functions
Domain & Range
100
Is the following relation a function?
(1,2)(2,4)(3,6)(4,4)(5,2)
Yes
100
What is the y-intercept?
y = -8x - 13
-13
100
What is the rate of change of the function?
(1,3)
(2,6)
(3,9)
(4,12)
3
100
How do we know that the following sequence is exponential: 1,4,16,64
a) because successive differences are constant
b) because successive differences are non-constant
c) because successive factors are constant
d) because successive factors are non-constant
c
100
What is the range of the function?
(2,1)(4,2)(6,3)(4,4)(2,5)
{1,2,3,4,5}
200
Is the following relation a function?
(2,1)(4,2)(6,3)(4,4)(2,5)
No
200
What is the y-intercept?
8x+4y=24
6
200
What is the slope of the graph?
4x+2y=12
-2
200
Deri receives a gift of $150 and puts it in a savings account with no additional deposits. She earns 3% interest, compounded yearly. Which of the following functions can be used to represent the value of the account after 5 years?
a) 150(5)3
b) 150(1.30)5
c) 150(1.03)5
d) 3(5) + 150
c) 150(1.03)5
200
What is the domain of the function?
(2,1)(4,2)(6,3)(4,4)(2,5)
{2,4,6}
300
Given the function f(x)=4x+2, evaluate f(a-1)
4a-2
300
What is the x-intercept?
8x+4y=24
3
300
Determine the slope of the line.
-1
300
Dacareus deposited $2000 in a bank account, earning 3.5% interest, compounded annually. He made no deposits or withdrawals. Write an equation that can be used to find f(t), her account balance, after t years.
f(t) = 2000(1.035)t
300
What is the range of the function?
a) [-3,2) b) [-3,4] c) [-5,4] d) [-5,0] e) all real numbers
c) [-5,4]
400
Given the function f(x) = 325(1/2)x , evaluate f(5). Round your answer to the nearest hundredth.
10.16
400
3x−2y=6
What are the x- and y-intercepts?
x-intercept: 2
y-intercept: -3
400
A plane starts its descent at an elevation of 1000 feet and descends at a rate of 50 feet per second. Write a function to model this situation.
f(x) = 1000-50x
400
Josh deposited $1500 in a bank account, earning 3.1% interest, compounded annually. He made no deposits or withdrawals. How much will Josh have in his account after 15 years? Round your answer to the nearest cent.
$2,371.22
400
What is the domain of the function above?
a) [-3,2) b) [-3,4] c) [-5,4] d) [-5,0] e) all real numbers
a) [-3,2)
500
Let F assign to student to his or her science teacher. Select from the words below to make a true statement.
F _________(is/is not) a function.
Each ________ (student/teacher) has _________(one/more than one) _________(student/teacher).
is; student; one; teacher
500
Allen is saving money in his piggy bank for his trip to England.
Day Dollars
0 4
1 8
2 12
3 16
Let f(x) represent the amount of money that Allen puts into the container on day x. What is f(0) and what does it represent in context?
f(0)=4. This means that Allen has $4 in the piggy bank at the start.
500
ZaCai and Sabrina are on the swim team.
The distance that ZaCai has swum (in feet) as a function of minutes can be represented by the following function: f(x)=120x
The distance that Sabrina has swum as a function of time can be represented by the following points: (2,150) (3,280)
Who swims faster, ZaCai or Sabrina? How much faster?
Sabrina; by 10 feet per minute
500
What is the average rate of change of f(x)=3(2)x on the interval [1,3]?
9
500
Jayla works between 10 and 15 hours each week. The function t, where t(x)=11.50x, represents the amount of money Jayla earns given the number of hours, x, she works. Which statement best represents the domain of this function for any given week?
a) x>11.50
b) all real numbers
c) 10≤x≤15
d) the set of positive numbers
c) 10≤x≤15