#1
What is the definition of a function in mathematics?
A relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.
ExplanationFunction maps inputs to unique outputs.
#2
What is the notation used to denote a function?
f(x)
ExplanationStandard notation for a function.
#3
Which of the following is the parent function of all quadratic functions?
f(x) = x^2
ExplanationBasic quadratic function is f(x) = x^2.
#4
What is the leading coefficient of the polynomial function f(x) = 3x^4 - 2x^3 + x - 1?
3
ExplanationLeading coefficient is the coefficient of the highest degree term.
#5
What is the definition of the domain of a function?
The set of all possible inputs of the function.
ExplanationDomain consists of all valid input values.
#6
Which of the following graphs represents a linear function?
Straight line
ExplanationLinear functions have graphs as straight lines.
#7
What is the range of the function f(x) = x^2?
Non-negative real numbers
ExplanationAll possible outputs are non-negative real numbers.
#8
What is the domain of the function f(x) = sqrt(x)?
Non-negative real numbers
ExplanationSquare root function is defined for non-negative real numbers.
#9
Which of the following functions is odd?
f(x) = sin(x)
ExplanationOdd functions satisfy f(-x) = -f(x).
#10
What is the maximum number of turning points a cubic function can have?
1
ExplanationCubic functions can have a maximum of one turning point.
#11
What is the period of the function f(x) = sin(2x)?
2π
ExplanationPeriod of sine function remains constant.
#12
Which of the following graphs represents an exponential function?
Curve increasing rapidly
ExplanationExponential functions grow rapidly.
#13
Which of the following graphs represents a cubic function?
Curve with two turning points
ExplanationCubic functions typically have two turning points.
#14
What is the period of the function f(x) = cos(x)?
2π
ExplanationPeriod of cosine function remains constant.