Types of Functions

Front

What is a Linear Function?

Back

A linear function is a function that graphs to a straight line. It can be expressed in the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What is an Absolute Value Function?

Back

An absolute value function is a function that outputs the absolute value of its input. It is defined as f(x) = |x|, which means it is always non-negative.

Tags

CCSS.HSF-IF.C.7D

Front

What is a Quadratic Function?

Back

A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax^2 + bx + c, where a, b, and c are constants and a ≠ 0.

Front

What is a Square Root Function?

Back

A square root function is a function that involves the square root of a variable. It is expressed as f(x) = √x, which is defined for x ≥ 0.

Tags

CCSS.HSF.IF.A.2

Front

What is a Cubic Function?

Back

A cubic function is a polynomial function of degree 3, typically in the form f(x) = ax^3 + bx^2 + cx + d, where a, b, c, and d are constants and a ≠ 0.

Front

What is an Exponential Function?

Back

An exponential function is a function in which an independent variable appears in the exponent. It is expressed as f(x) = a * b^x, where a is a constant and b is the base.

Front

What is a Constant Function?

Back

A constant function is a function that always returns the same value regardless of the input. It can be expressed as f(x) = c, where c is a constant.

Front

How do you identify a Linear Function from a graph?

Back

A linear function will graph as a straight line. It has a constant rate of change and can be identified by its slope.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

How do you identify a Quadratic Function from a graph?

Back

A quadratic function will graph as a parabola, which opens either upwards or downwards. It has a vertex and may have x-intercepts.

Front

What is the general form of a Quadratic Function?

Back

The general form of a quadratic function is f(x) = ax^2 + bx + c, where a, b, and c are constants.