15 Basic Functions #9

Front

What is the inverse square function?

Back

A function that describes how a quantity decreases with the square of the distance from a source, often represented as f(x) = k/x², where k is a constant.

Front

What is a quadratic function?

Back

A polynomial function of degree 2, typically in the form f(x) = ax² + bx + c, where a, b, and c are constants.

Front

What is the domain of the square root function?

Back

The domain of the square root function is [0, ∞), meaning it includes all non-negative real numbers.

Front

What is the log function?

Back

A logarithmic function, typically written as f(x) = log_b(x), where b is the base, which represents the exponent to which the base must be raised to produce x.

Tags

CCSS.HSF-IF.C.7E

Front

What is the ceiling function?

Back

A function that rounds a number up to the nearest integer, denoted as ⌈x⌉.

Tags

CCSS.HSF.IF.A.2

Front

What is the identity function?

Back

A function that returns the same value as its input, represented as f(x) = x.

Front

What is the absolute value function?

Back

A function that returns the non-negative value of a number, denoted as f(x) = |x|.

Tags

CCSS.HSF-IF.C.7D

Front

What is the exponential function?

Back

A function of the form f(x) = a * b^x, where a is a constant, b is the base, and x is the exponent.

Tags

CCSS.HSF-LE.A.1A

Front

What are the characteristics of the inverse square function?

Back

It exists in quadrants I and II only, and it approaches zero as x increases.

Tags

CCSS.HSF-IF.C.7B

Front

What is a key feature of quadratic functions?

Back

Quadratic functions have a parabolic shape and can open upwards or downwards depending on the sign of 'a'.

Tags

CCSS.HSF-IF.C.7A