FUNCTIONAL & GRAPHICAL REASONING

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What is a linear function?

Back

A linear function is a function that graphs to a straight line. It 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

How do you determine the slope of a linear function from a table?

Back

The slope can be determined by finding the change in y (rise) over the change in x (run) between two points in the table.

Tags

CCSS.8.EE.B.5

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of the dependent variable (y) with respect to the independent variable (x).

Tags

CCSS.8.EE.B.5

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function. If a vertical line intersects the graph at more than one point, it is not a function.

Front

How do you compare the slopes of two linear functions?

Back

To compare slopes, identify the coefficients of x in their equations. The function with the larger coefficient has a greater slope.

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept in a linear function?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the equation y = mx + b.

Front

How can you find the cost of services using a linear equation?

Back

You can substitute the number of services (x) into the equation to find the total cost (y).

Tags

CCSS.HSF.LE.B.5

Front

What does a greater rate of change indicate in a real-world context?

Back

A greater rate of change indicates that one quantity is increasing or decreasing faster than another, which can affect decisions in business or economics.

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CCSS.HSF.IF.B.6

CCSS.8.F.B.4

Front

What is the significance of coordinates in a graph?

Back

Coordinates (x, y) represent points on a graph, where x is the horizontal position and y is the vertical position.

Tags

CCSS.5.G.A.1

Front

How do you interpret the meaning of a negative slope?

Back

A negative slope indicates that as the independent variable increases, the dependent variable decreases.

Tags

CCSS.8.EE.B.5