Key Features of a Function Review

Front

What is a function's maximum point?

Back

A function's maximum point is the highest point on the graph of the function, where the function value is greater than or equal to the values of the function at nearby points.

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What is a function's minimum point?

Back

A function's minimum point is the lowest point on the graph of the function, where the function value is less than or equal to the values of the function at nearby points.

Front

How do you identify the turning points of a function?

Back

Turning points can be identified by finding the points where the derivative of the function is zero or undefined, indicating a change in the direction of the graph.

Front

What does it mean for a function to be positive?

Back

A function is positive when its output values are greater than zero, which corresponds to the portions of the graph that lie above the x-axis.

Tags

CCSS.HSF.LE.B.5

Front

What does it mean for a function to be negative?

Back

A function is negative when its output values are less than zero, which corresponds to the portions of the graph that lie below the x-axis.

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CCSS.HSF-IF.C.7A

Front

How do you find the x-intercept of a function?

Back

The x-intercept of a function is found by setting the function equal to zero and solving for x.

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CCSS.HSF-IF.C.7D

Front

What is the significance of the x-intercept in a function?

Back

The x-intercept indicates the point(s) where the graph of the function crosses the x-axis, showing the values of x for which the function output is zero.

Front

What is the general form of a linear function?

Back

The general form of a linear function is f(x) = mx + b, where m is the slope and b is the y-intercept.

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CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What is the slope of a function?

Back

The slope of a function represents the rate of change of the function's output with respect to its input, indicating how steep the graph is.

Tags

CCSS.8.EE.B.5

Front

What is a turning point in the context of a function?

Back

A turning point is a point on the graph of a function where the function changes direction from increasing to decreasing or vice versa.