Analyzing Functions

Front

What is the definition of a function?

Back

A function is a relation that assigns exactly one output for each input.

Tags

CCSS.8.F.A.1

Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line, which can be expressed in the form y = mx + b.

Tags

CCSS.8.F.A.3

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run).

Tags

CCSS.8.EE.B.5

Front

What is an x-intercept?

Back

The x-intercept is the point where a function crosses the x-axis, meaning y = 0.

Front

What is a y-intercept?

Back

The y-intercept is the point where a function crosses the y-axis, meaning x = 0.

Front

What does end behavior refer to in functions?

Back

End behavior describes how the values of a function behave as x approaches positive or negative infinity.

Front

What is the difference between a linear and 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.

Tags

CCSS.8.F.A.3

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as x increases, the value of f(x) also increases.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing if, as x increases, the value of f(x) decreases.

Tags

CCSS.HSF.LE.A.2

CCSS.8.F.B.4

Front

What is a vertical line test?

Back

The vertical line test is a method to determine if a relation is a function; if a vertical line intersects the graph at more than one point, it is not a function.