#1
What is the definition of a function in mathematics?
A relation that assigns exactly one output value for each input value.
ExplanationEach input has only one corresponding output.
#2
Which of the following is NOT a type of function?
Arithmetic function
ExplanationArithmetic functions are not a distinct category.
#3
What type of function has a constant rate of change?
Linear function
ExplanationRate of change is constant for linear functions.
#4
In a polynomial function, what is the highest power of the variable?
Degree
ExplanationHighest power determines the degree of a polynomial.
#5
What is the domain of the function f(x) = √(x + 2)?
x ≥ -2
ExplanationSquare root functions have non-negative domain.
#6
Which of the following functions is odd?
f(x) = sin(x)
ExplanationOdd functions satisfy f(-x) = -f(x).
#7
Which of the following functions is not one-to-one?
f(x) = x^2
ExplanationQuadratic functions fail the horizontal line test.
#8
What is the range of the function f(x) = sin(x)?
[-1, 1]
ExplanationSine function oscillates between -1 and 1.
#9
What is the range of the function f(x) = |x - 3|?
x ≤ 3
ExplanationAbsolute value function outputs non-negative values.
#10
What is the derivative of the function f(x) = ln(x)?
1/x
ExplanationDerivative of natural logarithm function.
#11
Which of the following functions is not continuous everywhere?
g(x) = tan(x)
ExplanationTangent function has asymptotes.
#12
What is the range of the function f(x) = |x|?
All non-negative real numbers
ExplanationAbsolute value function outputs non-negative values.