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1.     Which of the following best defines a function in mathematical terms?

• A map f: X → Y such that for every x ∈ X there exists exactly one y ∈ Y with f(x) = y

• A map where each y ∈ Y corresponds to multiple x ∈ X

• A set of ordered pairs without any restriction

• An expression containing only numerical constants

• A graph that passes the horizontal line test

1.     What is the inverse of y = 2^x?

• y = log₂(x)

• y = x²

• y = 1/x

• y = √x

• y = |x|

1.     Which of the following is NOT a type of function?

• Linear-Exponential function

• Linear function

• Quadratic function

• Exponential function

• Rational function

1.     Which graph represents a quadratic function?

• A U-shaped curve (parabola)

• A straight line

• An S-shaped curve

• A hyperbola

• A step graph

1.     Choose the correct statement about functions:

• A function has one output for each input

• A function can have two outputs for one input

• A function must be a straight line

• A function is always increasing

• All graphs are functions

1.     Which of the following equations is a function?

• y = x² + 1

• x = ±√y

• y² = x

• x² + y² = 1

• y = ±x

1.     Choose the incorrect statement about functions:

• A function may assign multiple outputs to one input

• A linear function has the form y = mx + b

• A quadratic function has a parabolic graph

• The vertical line test is used to check if a graph is a function

• Functions can be increasing or decreasing

1.     Translate the term “piecewise function” into English:

• A function defined by different expressions over different intervals

• A function with a broken graph

• A function with a hole

• A function that is constant

• A function with variables only

1.     Fill in the gap: A (an) __________ function has a graph that never touches the x-axis.

• exponential

• linear

• quadratic

• absolute value

• constant

Which of the following graphs is not a function?

• A circle

• A straight line

• A linear decreasing graph

• A parabola opening upwards

• An exponential curve