Understanding Functions

What is a requirement for a set of elements in A to be considered a function?

• There should be empty elements in A.

• An element in A can be mapped to multiple elements in B.

• An element in A must not be mapped to more than one element in B.

• Elements in B must be empty.

What is the general form of a quadratic function?

• $ ax + b $

• $ ax^2 + bx + c $

• $ ax^3 + bx^2 + cx + d $

• $ a \cdot b^x $

What is the value of \( g(12) \) from the given set of ordered pairs?

• 6

• 5

• -3

• 12

In the function \( f \) shown in the diagram, what is the value of \( f(2) \)?

• 2

• 4

• 5

• 0

What is the value of \( g(-3) \) from the given set of ordered pairs?

• 5

• 6

• -3

• 4

Which value is paired with 7 in the function $ g $?

• 5

• 6

• -3

• 15

What is the value of $ h(x) $ when $ x = 0 $?

• 0

• 1

• 2

• 3

Which of the following is a correct mapping in the diagram?

• -1 to 5

• 0 to 4

• 1 to 2

• 2 to 3

What is the function of inverse trigonometric functions on a calculator?

• To calculate logarithms

• To find angles from trigonometric ratios

• To solve quadratic equations

• To perform matrix operations

What is the function of the hypotenuse in trigonometric calculations?

• It is used to calculate the area

• It is the reference side for sine and cosine

• It is used to find the perimeter

• It is irrelevant in trigonometry