Analyzing Graphs of Functions

Front

What is a function in mathematics?

Back

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

Tags

CCSS.8.F.A.1

Front

What does the slope of a graph represent?

Back

The slope represents the rate of change of the function; it indicates how steep the graph is.

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept of a graph?

Back

The y-intercept is the point where the graph crosses the y-axis, indicating the value of the function when the input is zero.

Front

How can you determine if a function is increasing or decreasing from its graph?

Back

A function is increasing if the graph moves upward as you move from left to right, and decreasing if it moves downward.

Front

What does a horizontal line on a graph indicate?

Back

A horizontal line indicates that the function has a constant value; there is no change in output regardless of the input.

Tags

CCSS.HSF-IF.C.7E

Front

What is the difference between speed and velocity?

Back

Speed is a scalar quantity that refers to how fast an object is moving, while velocity is a vector quantity that includes both speed and direction.

Tags

CCSS.HSN.VM.A.1

Front

What does it mean for a graph to be linear?

Back

A linear graph represents a function with a constant rate of change, forming a straight line.

Tags

CCSS.8.F.A.3

Front

What is acceleration in the context of a graph?

Back

Acceleration refers to the rate of change of velocity; on a graph, it is represented by a curve that shows increasing or decreasing speed.

Tags

CCSS.HSF.IF.B.4

Front

How can you identify a head start in a race graph?

Back

A head start is indicated by one runner's graph starting at a higher point on the y-axis compared to others.

Tags

CCSS.8.EE.B.5

Front

What does a steep slope indicate about speed?

Back

A steep slope indicates a high speed, while a gentle slope indicates a lower speed.

Tags

CCSS.8.EE.B.5