Function Notation and Graphs

Front

What is function notation?

Back

Function notation is a way to represent a function using symbols, typically written as f(x), where 'f' is the name of the function and 'x' is the input variable.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What does f(x) represent in a function?

Back

f(x) represents the output of the function f for a given input x.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

How do you interpret f(a) = b in a real-world context?

Back

f(a) = b means that when the input is 'a', the output is 'b', which can represent a specific relationship or measurement in a real-world scenario.

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CCSS.HSF.IF.A.2

Front

What is the significance of the x-axis and y-axis in a graph of a function?

Back

The x-axis typically represents the input values (independent variable), while the y-axis represents the output values (dependent variable) of the function.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Front

How can you determine the output of a function from its graph?

Back

To determine the output of a function from its graph, locate the input value on the x-axis, then find the corresponding point on the graph to read the output value on the y-axis.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What does it mean if a function is increasing on an interval?

Back

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

Front

What does it mean if a function is decreasing on an interval?

Back

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

Front

What is a linear function?

Back

A linear function is a function that can be represented by a straight line on a graph, typically in the form f(x) = 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 in a graph?

Back

The slope of a line represents the rate of change of the function; it indicates how much the output value changes for a unit change in the input value.

Tags

CCSS.8.EE.B.5

Front

What does it mean for a function to have a maximum or minimum value?

Back

A maximum value is the highest point on the graph of a function, while a minimum value is the lowest point; these points indicate the function's extreme values.