4.06-4.09 Analyzing and Creating Graphs of Functions

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input. It can be represented as f(x), where x is the input.

Tags

CCSS.8.F.A.1

Front

What does the term 'horizontal intercept' mean?

Back

The horizontal intercept (or x-intercept) is the point where a graph crosses the x-axis, indicating the value of x when the output (y) is zero.

Front

What is a vertical intercept?

Back

The vertical intercept (or y-intercept) is the point where a graph crosses the y-axis, indicating the value of y when the input (x) is zero.

Front

How do you determine the maximum value of a function from its graph?

Back

The maximum value of a function is the highest point on the graph. It can be found by identifying the peak of the curve.

Front

What is the average rate of change of a function?

Back

The average rate of change of a function over an interval is the change in the function's value divided by the change in the input value over that interval.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

What does it mean for a function to be increasing?

Back

A function is increasing on an interval if, as the input values increase, the output values also increase.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing on an interval if, as the input values increase, the output values decrease.

Front

What is a minimum point on a graph?

Back

A minimum point is the lowest point on the graph of a function, indicating the smallest output value.

Front

How can you identify a constant rate of change in a graph?

Back

A constant rate of change is represented by a straight line on the graph, indicating that the output changes by the same amount for each unit increase in the input.

Tags

CCSS.HSF-LE.A.1B

Front

What is a piecewise function?

Back

A piecewise function is a function that is defined by different expressions for different intervals of the input.

Tags

CCSS.HSF-IF.C.7B