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WorksheetsGeneral Mathematics Quiz
Total questions: 40
Worksheet time: 20mins
A linear function f is an _________ function if f(x) = mx + b, where m = 1 and b = 0. Thus, f(x) = x.
Identity
absolute value
constant
piece-wise
If f(x) = x + 8, evaluate f(4/4)
8
4
9
12
If f(x) = x + 5, evaluate f(x + 3)
x-8
x-2
x+2
x+8
The function f is an ________function if and only if f(–x) = f(x), for all x in the domain of f.
identity
odd
neither
even
The function f is an ______ function if and only if f(–x) = –f(x), for all x in the domain of f.
odd
even
neither
identity
What is the correct representation of a one-to-one function?
It passes both vertical and horizontal line tests
It is always a linear function
It passes the vertical line test only
It can have multiple outputs for one input
Determine whether or not each statement is True or False.
If f(x) = x + 6 and g(x) = 3x, then (f/g)(3) = 1.
True
False
What is the formula for the area A that can be enclosed with 100 meters of fencing?
A = 100/x
A = 50x^2
A = 100x
A = x(100 - 2x)
f(x) = x2– 4x evaluate f(-x+2)
x2+8
x2 - 4
x2+4
x2-8
Determine whether or not each function is even, odd, or neither function.
f(x) = x3 – 1
even
odd
neither
Determine whether or not each function is even, odd, or neither function.
g(x) = 2x4+ 3x2+ 1
odd
even
neither
Determine whether or not each function is even, odd, or neither function.
h(x) = x4– x2
even
odd
neither
What is the correct definition of a function?
A relation that assigns one output for every input
A relation that can have multiple outputs
A set of ordered pairs
A graph in the Cartesian plane
Which of the following is an example of a rational function?
f(x) = 1/(x-1)
f(x) = x^2 + 3x
f(x) = 2x + 5
f(x) = 3x^2
What is the significance of the vertical line test?
To determine if a relation is a function
To find the domain of a function
To graph a function accurately
To solve equations
Which of the following statements is true about one-to-one functions?
They are always linear
They must pass both vertical and horizontal line tests
They can have multiple outputs for one input
They can fail the vertical line test
The function C described by C(F) = 5/9(F − 32) gives the Celsius temperature corresponding to the Fahrenheit temperature F.
Find the Celsius temperature equivalent to 68°F
20
10
-10
-20
The _____f + g is a function whose domains are the set of all real numbers common to the domain of f and g, and defined as follows:
(f + g)(x) = f(x) + g(x)
quotient
sum
difference
product
What does the term 'domain' refer to in functions?
The set of all possible outputs
The range of values
The set of all possible inputs
The graph of the function
What is the correct way to represent the relationship between the number of children and the budget per child?
y = 100000 + x
y = x/100000
y = 100000*x
y = 100000/x
The __________ f – g is a function whose domains are the set of all real numbers common to the domain of f and g, and defined as follows:
(f – g)(x) = f(x) – g(x)
difference
sum
product
quotient
The _______ fg is a function whose domains are the set of all real numbers common to the domain of f and g, and defined as follows:
(fg)(x) = f(x) · g(x)
difference
product
sum
quotient
The __________f/g is a function whose domains are the set of all real numbers common to the domain of f and g, and defined as follows: ,f/g= f(x)/g(x)
where g(x) ≠ 0.
product
quotient
sum
difference
Which of the following is an example of a piecewise function?
f(x) = 3x + 2
f(x) = 1/x
f(x) = {x+1, x<0; x-1, x>=0}
f(x) = x^2
What is the correct interpretation of the function C(x) = 25x + 200?
It represents total income
It represents revenue from sales
It represents daily expenses
It represents profit from sales
The ____________of the function f with g is denoted by and is defined by the equation: fog(x) = f(g(x))
The domain of the composition function f o g is the set of all x such that x is in the domain of g; and fog
g(x) is in the domain of f.
quotient
product
composition
sum
What is the main focus of the teaching tip regarding graphing rational functions?
To analyze the domain and range
To understand the transformations
To memorize the graphs
To practice solving equations
Determine whether or not each statement is True or False.
If f(x) = x + 3 and g(x) = 4x, then (f · g)(2) = 40.
True
False
Determine whether or not each statement is True or False.
If f(x) = x – 3 and g(x) = x + 4,
then (f – g)(x) = –6
true
false
A linear function f is a _________ function if f(x) = mx + b, where m = 0 and b is any real number. Thus, f(x) = b.
piece-wise
constant
identity
absolute value
What is the significance of the vertical line test?
To find the domain of a function
To determine if a relation is a function
To graph a function accurately
To solve equations
Determine whether or not each statement is True or False.
If f(x) = 4x – 12 and g(x) = x – 3,
then (f + g)(2) = 5
true
False
The function f is an ____________ function if for all real numbers x,
f(x) = x, for x ≥ 0
–x, for x ≤ 0
piece-wise
absolute value
constant
identity
What does the term 'range' refer to in the context of functions?
The set of all possible inputs
The set of all possible outputs
The graph of the function
The domain of the function
What is the significance of the horizontal line test?
To graph a function accurately
To assess the continuity of a function
To find the domain of a function
To determine if a function is one-to-one
A _______ is a relation in which each element of the domain corresponds to exactly one element of the range.
range
function
domain
relation
A function f is a ________ function if f(x) = mx + b, where m and b are real numbers, and m and f(x) are not both equal to zero.
constant
identity
linear
quadratic
A ___________ function is any equation of the form f(x) = ax2+ bx + c where a, b, and c are real numbers and a ≠ 0.
piece-wise
identity
linear
quadratic
A linear function f is a _________function if f(x) = mx + b, where m = 0 and b is any real number. Thus, f(x) = b.
linear
constant
piece-wise
identity
A _____________ function or a compound function is a function defined by multiple sub-functions, where each sub-function applies to a certain interval of the main function's domain.
piece-wise
absolute value
identity
constant
