Function Families

Front

What is a Linear Function?

Back

A linear function is a function that can be graphically represented in the Cartesian plane 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.8.F.B.4

CCSS.HSF.LE.A.2

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 written 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 do 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.8.F.B.4

CCSS.HSF.LE.A.2

Front

How do 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 do 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 zero, one, or two x-intercepts.

Front

How do you identify an Absolute Value Function from its graph?

Back

An absolute value function's graph forms a 'V' shape, with the vertex at the point where the function equals zero.

Tags

CCSS.HSF-IF.C.7D

Front

What is the slope in a Linear Function?

Back

The slope (m) in a linear function represents the rate of change of the function. It indicates how much y changes for a unit change in x.

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept in a Linear Function?

Back

The y-intercept (b) in a linear function is the point where the graph intersects the y-axis, representing the value of f(x) when x = 0.