Exam 3 Function Graphs & Systems Released Version
.docx
keyboard_arrow_up
School
Texas A&M International University *
*We aren’t endorsed by this school
Course
101
Subject
Mathematics
Date
May 13, 2024
Type
docx
Pages
15
Uploaded by CountChimpanzeePerson1152 on coursehero.com
Name: ______________________ Class: ______________________ Date: _____________
Exam 3: Function Graphs & Systems Released Version
1. The function
f(x) = |x|
is changed to
g(x) = (¼) |x-5| - 2
Which of the below correctly identifies the transformations?
A.
Horizontal Shift UP by 2 Units
Vertical Shift Right by 5 Units
Stretch with a scale factor of 5
It reflects over the x-axis.
B.
Horizontal Shift Right by 5 Units
Vertical Shift Down by 2 Units
Compression with a scale factor of (1/4)
There is no reflection over the x-axis.
C.
Horizontal Shift Left by 5 Units
Vertical Shift Down by 2 Units
Compression with a scale factor of 5
It reflects over the x-axis.
D.
Horizontal Shift Left by 5 Units
Vertical Shift Down by 2 Units
Compression with a scale factor of (1/4)
It reflects over the x-axis.
2. Given function f(x) = - (x-3)² + 1, which statements represent key attributes of this function?
Select
TWO
correct answers.
A. The vertex is (-3,1).
B. The maximum is y = 1.
C. The range is y≥1.
D. There is an x-intercept at (2,0)
E. There is an x-intercept at (0,-8).
3. Given the function f(x) =
√(
x-4)+2 , identify the correct domain and range.
A.
Domain: (-∞,∞)
Range: (-∞,∞)
B.
Domain: [-4,∞)
Range: [2,∞)
C.
Domain: [4,∞)
Range: [2,∞)
D.
Domain: (4,∞)
Range: (2,∞)
4.
Identify the aymptote for the graph pictured above.
A.
y = -1
B.
x = -1
C.
y = 0
D.
x = 3
5. Nick has 40 coins consisting of in nickels, dimes, and quarters. He has 3 times as many nickels as dimes. If the coins are worth a total of $4.00, which system of equations is used to determine how many of each coin Nick has?
A.
n + d + q = 40
n = 3d
.05n + .10d + .25q = 4.00
B.
n + d + q = 40
d = 3n
.05n + .10d + .25q = 4.00
C.
n + d + q = 40
n = 3d
5n + 10d + 25q = 4.00
D.
n + d + q = 40
d = 3n
5n + 10d + 25q = 4.00
6. Which equation is used to find one of the solutions to the equation -142x-6=-11
A.
-14(2x-6)=11
B.
2x-6=114
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
- Access to all documents
- Unlimited textbook solutions
- 24/7 expert homework help