Comparing 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 y = 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 the graph of a quadratic function called?

Back

The graph of a quadratic function is called a parabola.

Tags

CCSS.HSF-IF.C.7A

Front

What distinguishes a linear function from a nonlinear function?

Back

A linear function has a constant rate of change and graphs to a straight line, while a nonlinear function does not have a constant rate of change and can graph to curves or other shapes.

Tags

CCSS.8.F.A.3

Front

What does the slope of a line represent in a linear function?

Back

The slope of a line 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 of a linear function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis, represented by the value of b in the equation y = mx + b.

Front

What is an exponential function?

Back

An exponential function is a function of the form y = ab^x, where a is a constant, b is the base, and x is the exponent. It graphs to a curve that increases or decreases rapidly.

Front

What does a constant speed graph look like?

Back

A constant speed graph is represented by a straight line with a constant slope, indicating that distance changes at a constant rate over time.

Tags

CCSS.8.EE.B.5

Front

What is the difference between a linear and a quadratic function?

Back

A linear function has a degree of 1 and graphs to a straight line, while a quadratic function has a degree of 2 and graphs to a parabola.

Tags

CCSS.8.F.A.3

Front

What is a hyperbola?

Back

A hyperbola is a type of curve formed by the intersection of a double cone with a plane, characterized by two separate branches.

Tags

CCSS.7.G.A.3

Front

What does it mean for a function to be nonlinear?

Back

A nonlinear function is one that does not form a straight line when graphed; it can include curves, circles, parabolas, etc.

Tags

CCSS.8.F.A.3