Characteristics of Functions

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Tags

CCSS.8.F.A.1

Front

What is the definition of an x-intercept?

Back

The x-intercept is the point where a graph crosses the x-axis, meaning the output (y-value) is zero.

Front

What is the definition of a y-intercept?

Back

The y-intercept is the point where a graph crosses the y-axis, meaning the input (x-value) is zero.

Front

What does end behavior refer to in a function?

Back

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

Front

How do you determine if a function is increasing?

Back

A function is increasing on an interval if, as you move from left to right, the y-values of the function increase.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing on an interval if, as you move from left to right, the y-values of the function decrease.

Front

What is the significance of the vertex in a quadratic function?

Back

The vertex is the highest or lowest point of the parabola, indicating the maximum or minimum value of the function.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line and 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 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 does it mean for a function to be constant?

Back

A constant function is one where the output value does not change regardless of the input value.