Properties and Types of Functions Quiz
Test your knowledge on functions! Explore definitions, types, derivatives, and more in this calculus quiz.
#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
What is the range of the function f(x) = |x - 3|?
All real numbers
x ≥ 3
x > 3
x ≤ 3
#10
What is the derivative of the function f(x) = ln(x)?
#11
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)
#12
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
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