#1
What is the definition of a function in mathematics?
A relation that assigns exactly one output value for each input value.
A relation that assigns multiple output values for each input value.
A relation that has no input values.
A relation that has no output values.
#2
Which of the following is NOT a type of function?
Linear function
Quadratic function
Exponential function
Arithmetic function
#3
What type of function has a constant rate of change?
Linear function
Quadratic function
Exponential function
Trigonometric function
#4
In a polynomial function, what is the highest power of the variable?
Degree
Coefficient
Exponent
Root
#5
What is the domain of the function f(x) = √(x + 2)?
All real numbers
x ≥ -2
x > -2
x ≥ 0
#6
Which of the following functions is odd?
f(x) = x^2 + 1
f(x) = sin(x)
f(x) = 2x + 3
f(x) = e^x
#7
Which of the following functions is not one-to-one?
f(x) = x^2
g(x) = e^x
h(x) = 2x + 3
k(x) = |x|
#8
What is the range of the function f(x) = sin(x)?
(-∞, ∞)
[-1, 1]
[0, ∞)
(-1, 1)
#9
Which of the following functions is an odd function?
f(x) = x^3
g(x) = x^2
h(x) = e^x
k(x) = cos(x)
#10
Which of the following is a property of a one-to-one function?
Every element in the domain maps to a unique element in the range
It maps multiple elements in the domain to the same element in the range
It maps every element in the domain to the same element in the range
It doesn't map any element in the domain to the range
#11
What is the period of the function f(x) = sin(x)?
#12
Which of the following statements is true regarding the inverse of a function?
Every function has an inverse
The inverse of a function may not exist
The inverse of a function is always a one-to-one function
The inverse of a function is always the reciprocal of the original function
#13
What is the vertical asymptote of the function f(x) = 1 / x?
#14
Which of the following functions is not periodic?
f(x) = sin(x)
f(x) = tan(x)
f(x) = cos(x)
f(x) = e^x
#15
What is the domain of the function f(x) = sqrt(x - 2)?
All real numbers
x ≥ 2
x > 2
x ≠ 2
#16
What is the range of the function f(x) = |x - 3|?
All real numbers
x ≥ 3
x > 3
x ≤ 3
#17
What is the derivative of the function f(x) = ln(x)?
#18
Which of the following functions is not continuous everywhere?
f(x) = x^2
g(x) = tan(x)
h(x) = 1/x
k(x) = sin(x)
#19
What is the range of the function f(x) = |x|?
All real numbers
All positive real numbers
All non-negative real numbers
All negative real numbers
#20
What is the range of the function f(x) = e^x?
All real numbers
All positive real numbers
All non-negative real numbers
All negative real numbers
#21
What is the derivative of the function f(x) = e^(2x)?
#22
Which of the following functions is not injective?
f(x) = x^2
f(x) = e^x
f(x) = ln(x)
f(x) = sin(x)