РК 2 каз новый платонус студенты

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 

Which graph represents a quadratic function?

• A U-shaped curve (parabola)

• A straight line

• An S-shaped curve

• A hyperbola

• A step graph

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

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 

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 

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 parabola opening upwards

• An exponential curve

• A linear decreasing graph

Identify the function type: y = 1/x

• Rational function

• Linear function

• Quadratic function

• Exponential function

• Absolute value function

• five

• a proper fraction

• 0

If the surface area of a cube is 384 cm2, what is the volume of the cube? 

• 512 cm3

• 45 cm3 

• 5978 cm3

• 98 cm3

• 25 cm3