Function Families

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line. It has the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.HSF.LE.A.2

CCSS.8.F.B.4

Front

What is an exponential function?

Back

An exponential function is a mathematical function of the form f(x) = a * b^x, where a is a constant, b is the base (a positive real number), and x is the exponent. It shows rapid growth or decay.

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. Its graph is a parabola.

Front

What is an absolute value function?

Back

An absolute value function is a function that returns the non-negative value of a number. It is defined as f(x) = |x|, which means the distance of x from 0 on the number line.

Tags

CCSS.HSF-IF.C.7D

Front

How can you identify a linear function from its graph?

Back

A linear function's graph is a straight line. It has a constant slope and does not curve.

Tags

CCSS.HSF.LE.A.2

CCSS.8.F.B.4

Front

How can you identify an exponential function from its graph?

Back

An exponential function's graph shows rapid growth or decay. It curves upwards for growth and downwards for decay, never touching the x-axis.

Tags

CCSS.HSF-IF.C.7E

Front

How can you identify a quadratic function from its graph?

Back

A quadratic function's graph is a parabola, which can open upwards or downwards. It has a vertex and may have one or two x-intercepts.

Front

How can you identify an absolute value function from its graph?

Back

An absolute value function's graph has a V shape. It reflects the negative values of x to positive values.

Tags

CCSS.HSF-IF.C.7D

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is Ax + By = C, where A, B, and C are constants.

Front

What is the vertex of a quadratic function?

Back

The vertex of a quadratic function is the highest or lowest point on the graph, depending on whether it opens upwards or downwards.